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Finding the Fourth Proportional to 85,711.32, 118,294.02 and 47,988

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Solution

The fourth proportional to 85,711.32, 118,294.02 and 47,988 is: 66,230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,711.32 : 118,294.02 = 47,988 : x
  2. Step 2: Convert to fraction form
    85,711.32/118,294.02 = 47,988/x
  3. Step 3: Cross multiply
    85,711.32x = 118,294.02 × 47,988
  4. Step 4: Simplify right side
    85,711.32x = 5,676,693,431.76
  5. Step 5: Solve for x
    x = 5,676,693,431.76/85,711.32
  6. Step 6: Final answer
    x = 66,230.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.