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Finding the Fourth Proportional to 208,074,991.80, 312,018,009.30 and 78,639,583.80

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Solution

The fourth proportional to 208,074,991.80, 312,018,009.30 and 78,639,583.80 is: 117,923,668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,074,991.80 : 312,018,009.30 = 78,639,583.80 : x
  2. Step 2: Convert to fraction form
    208,074,991.80/312,018,009.30 = 78,639,583.80/x
  3. Step 3: Cross multiply
    208,074,991.80x = 312,018,009.30 × 78,639,583.80
  4. Step 4: Simplify right side
    208,074,991.80x = 24,536,966,389,456,528
  5. Step 5: Solve for x
    x = 24,536,966,389,456,528/208,074,991.80
  6. Step 6: Final answer
    x = 117,923,668.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.