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Finding the Fourth Proportional to 137,510.34, 189,773.04 and 77,081.01

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Solution

The fourth proportional to 137,510.34, 189,773.04 and 77,081.01 is: 106,376.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,510.34 : 189,773.04 = 77,081.01 : x
  2. Step 2: Convert to fraction form
    137,510.34/189,773.04 = 77,081.01/x
  3. Step 3: Cross multiply
    137,510.34x = 189,773.04 × 77,081.01
  4. Step 4: Simplify right side
    137,510.34x = 14,627,897,593.97
  5. Step 5: Solve for x
    x = 14,627,897,593.97/137,510.34
  6. Step 6: Final answer
    x = 106,376.71

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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.