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Finding the Fourth Proportional to 137,304, 189,482.40 and 77,688

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Solution

The fourth proportional to 137,304, 189,482.40 and 77,688 is: 107,211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,304 : 189,482.40 = 77,688 : x
  2. Step 2: Convert to fraction form
    137,304/189,482.40 = 77,688/x
  3. Step 3: Cross multiply
    137,304x = 189,482.40 × 77,688
  4. Step 4: Simplify right side
    137,304x = 14,720,508,691.20
  5. Step 5: Solve for x
    x = 14,720,508,691.20/137,304
  6. Step 6: Final answer
    x = 107,211.07

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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.