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Finding the Fourth Proportional to 91,564.92, 137,405.16 and 38,974.32

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Solution

The fourth proportional to 91,564.92, 137,405.16 and 38,974.32 is: 58,486.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,564.92 : 137,405.16 = 38,974.32 : x
  2. Step 2: Convert to fraction form
    91,564.92/137,405.16 = 38,974.32/x
  3. Step 3: Cross multiply
    91,564.92x = 137,405.16 × 38,974.32
  4. Step 4: Simplify right side
    91,564.92x = 5,355,272,675.49
  5. Step 5: Solve for x
    x = 5,355,272,675.49/91,564.92
  6. Step 6: Final answer
    x = 58,486.07

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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.