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Finding the Fourth Proportional to 74,358.30, 102,614.52 and 40,366.74

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Solution

The fourth proportional to 74,358.30, 102,614.52 and 40,366.74 is: 55,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,358.30 : 102,614.52 = 40,366.74 : x
  2. Step 2: Convert to fraction form
    74,358.30/102,614.52 = 40,366.74/x
  3. Step 3: Cross multiply
    74,358.30x = 102,614.52 × 40,366.74
  4. Step 4: Simplify right side
    74,358.30x = 4,142,213,649.06
  5. Step 5: Solve for x
    x = 4,142,213,649.06/74,358.30
  6. Step 6: Final answer
    x = 55,706.14

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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.