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Finding the Fourth Proportional to 74,574.59, 102,915.14 and 40,585.50

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Solution

The fourth proportional to 74,574.59, 102,915.14 and 40,585.50 is: 56,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,574.59 : 102,915.14 = 40,585.50 : x
  2. Step 2: Convert to fraction form
    74,574.59/102,915.14 = 40,585.50/x
  3. Step 3: Cross multiply
    74,574.59x = 102,915.14 × 40,585.50
  4. Step 4: Simplify right side
    74,574.59x = 4,176,862,211.54
  5. Step 5: Solve for x
    x = 4,176,862,211.54/74,574.59
  6. Step 6: Final answer
    x = 56,009.19

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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.