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Finding the Fourth Proportional to 85,394.82, 128,113.02 and 38,635.14

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Solution

The fourth proportional to 85,394.82, 128,113.02 and 38,635.14 is: 57,962.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,394.82 : 128,113.02 = 38,635.14 : x
  2. Step 2: Convert to fraction form
    85,394.82/128,113.02 = 38,635.14/x
  3. Step 3: Cross multiply
    85,394.82x = 128,113.02 × 38,635.14
  4. Step 4: Simplify right side
    85,394.82x = 4,949,664,463.52
  5. Step 5: Solve for x
    x = 4,949,664,463.52/85,394.82
  6. Step 6: Final answer
    x = 57,962.12

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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.