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Finding the Fourth Proportional to 141,885.92, 212,805.57 and 57,642.68

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Solution

The fourth proportional to 141,885.92, 212,805.57 and 57,642.68 is: 86,454.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,885.92 : 212,805.57 = 57,642.68 : x
  2. Step 2: Convert to fraction form
    141,885.92/212,805.57 = 57,642.68/x
  3. Step 3: Cross multiply
    141,885.92x = 212,805.57 × 57,642.68
  4. Step 4: Simplify right side
    141,885.92x = 12,266,683,373.73
  5. Step 5: Solve for x
    x = 12,266,683,373.73/141,885.92
  6. Step 6: Final answer
    x = 86,454.55

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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.