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Finding the Fourth Proportional to 74,802.80, 103,227.76 and 40,811.31

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Solution

The fourth proportional to 74,802.80, 103,227.76 and 40,811.31 is: 56,319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,802.80 : 103,227.76 = 40,811.31 : x
  2. Step 2: Convert to fraction form
    74,802.80/103,227.76 = 40,811.31/x
  3. Step 3: Cross multiply
    74,802.80x = 103,227.76 × 40,811.31
  4. Step 4: Simplify right side
    74,802.80x = 4,212,859,909.91
  5. Step 5: Solve for x
    x = 4,212,859,909.91/74,802.80
  6. Step 6: Final answer
    x = 56,319.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.