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Finding the Fourth Proportional to 85,734, 118,353.92 and 57,101.32

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Solution

The fourth proportional to 85,734, 118,353.92 and 57,101.32 is: 78,827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,734 : 118,353.92 = 57,101.32 : x
  2. Step 2: Convert to fraction form
    85,734/118,353.92 = 57,101.32/x
  3. Step 3: Cross multiply
    85,734x = 118,353.92 × 57,101.32
  4. Step 4: Simplify right side
    85,734x = 6,758,165,059.17
  5. Step 5: Solve for x
    x = 6,758,165,059.17/85,734
  6. Step 6: Final answer
    x = 78,827.13

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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.