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Finding the Fourth Proportional to 208,802.99, 313,051.12 and 66,566.45

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Solution

The fourth proportional to 208,802.99, 313,051.12 and 66,566.45 is: 99,800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,802.99 : 313,051.12 = 66,566.45 : x
  2. Step 2: Convert to fraction form
    208,802.99/313,051.12 = 66,566.45/x
  3. Step 3: Cross multiply
    208,802.99x = 313,051.12 × 66,566.45
  4. Step 4: Simplify right side
    208,802.99x = 20,838,701,726.92
  5. Step 5: Solve for x
    x = 20,838,701,726.92/208,802.99
  6. Step 6: Final answer
    x = 99,800.78

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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.