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Finding the Fourth Proportional to 205,070.45, 307,802.70 and 99,963.23

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Solution

The fourth proportional to 205,070.45, 307,802.70 and 99,963.23 is: 150,040.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,070.45 : 307,802.70 = 99,963.23 : x
  2. Step 2: Convert to fraction form
    205,070.45/307,802.70 = 99,963.23/x
  3. Step 3: Cross multiply
    205,070.45x = 307,802.70 × 99,963.23
  4. Step 4: Simplify right side
    205,070.45x = 30,768,950,555.71
  5. Step 5: Solve for x
    x = 30,768,950,555.71/205,070.45
  6. Step 6: Final answer
    x = 150,040.88

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1.5x scale

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.