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Finding the Fourth Proportional to 138,554.32, 191,204.92 and 74,892.08

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Solution

The fourth proportional to 138,554.32, 191,204.92 and 74,892.08 is: 103,351.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,554.32 : 191,204.92 = 74,892.08 : x
  2. Step 2: Convert to fraction form
    138,554.32/191,204.92 = 74,892.08/x
  3. Step 3: Cross multiply
    138,554.32x = 191,204.92 × 74,892.08
  4. Step 4: Simplify right side
    138,554.32x = 14,319,734,165.03
  5. Step 5: Solve for x
    x = 14,319,734,165.03/138,554.32
  6. Step 6: Final answer
    x = 103,351.05

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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.