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Finding the Fourth Proportional to 316,155.31, 474,257.72 and 91,519.12

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Solution

The fourth proportional to 316,155.31, 474,257.72 and 91,519.12 is: 137,285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,155.31 : 474,257.72 = 91,519.12 : x
  2. Step 2: Convert to fraction form
    316,155.31/474,257.72 = 91,519.12/x
  3. Step 3: Cross multiply
    316,155.31x = 474,257.72 × 91,519.12
  4. Step 4: Simplify right side
    316,155.31x = 43,403,649,187.61
  5. Step 5: Solve for x
    x = 43,403,649,187.61/316,155.31
  6. Step 6: Final answer
    x = 137,285.85

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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.