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Finding the Fourth Proportional to 91,432.84, 137,119.92 and 29,088.76

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Solution

The fourth proportional to 91,432.84, 137,119.92 and 29,088.76 is: 43,623.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,432.84 : 137,119.92 = 29,088.76 : x
  2. Step 2: Convert to fraction form
    91,432.84/137,119.92 = 29,088.76/x
  3. Step 3: Cross multiply
    91,432.84x = 137,119.92 × 29,088.76
  4. Step 4: Simplify right side
    91,432.84x = 3,988,648,444.10
  5. Step 5: Solve for x
    x = 3,988,648,444.10/91,432.84
  6. Step 6: Final answer
    x = 43,623.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.