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Finding the Fourth Proportional to 135,078.38, 186,411.88 and 74,652.93

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Solution

The fourth proportional to 135,078.38, 186,411.88 and 74,652.93 is: 103,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,078.38 : 186,411.88 = 74,652.93 : x
  2. Step 2: Convert to fraction form
    135,078.38/186,411.88 = 74,652.93/x
  3. Step 3: Cross multiply
    135,078.38x = 186,411.88 × 74,652.93
  4. Step 4: Simplify right side
    135,078.38x = 13,916,192,842.18
  5. Step 5: Solve for x
    x = 13,916,192,842.18/135,078.38
  6. Step 6: Final answer
    x = 103,023.10

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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.