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Finding the Fourth Proportional to 85,731.32, 118,306.54 and 47,489.33

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Solution

The fourth proportional to 85,731.32, 118,306.54 and 47,489.33 is: 65,533.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,731.32 : 118,306.54 = 47,489.33 : x
  2. Step 2: Convert to fraction form
    85,731.32/118,306.54 = 47,489.33/x
  3. Step 3: Cross multiply
    85,731.32x = 118,306.54 × 47,489.33
  4. Step 4: Simplify right side
    85,731.32x = 5,618,298,319.22
  5. Step 5: Solve for x
    x = 5,618,298,319.22/85,731.32
  6. Step 6: Final answer
    x = 65,533.79

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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.