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Finding the Fourth Proportional to 74,386, 102,652.68 and 40,854.16

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Solution

The fourth proportional to 74,386, 102,652.68 and 40,854.16 is: 56,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,386 : 102,652.68 = 40,854.16 : x
  2. Step 2: Convert to fraction form
    74,386/102,652.68 = 40,854.16/x
  3. Step 3: Cross multiply
    74,386x = 102,652.68 × 40,854.16
  4. Step 4: Simplify right side
    74,386x = 4,193,789,013.15
  5. Step 5: Solve for x
    x = 4,193,789,013.15/74,386
  6. Step 6: Final answer
    x = 56,378.74

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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.