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Finding the Fourth Proportional to 85,340.16, 127,874.88 and 61,856.64

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Solution

The fourth proportional to 85,340.16, 127,874.88 and 61,856.64 is: 92,686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,340.16 : 127,874.88 = 61,856.64 : x
  2. Step 2: Convert to fraction form
    85,340.16/127,874.88 = 61,856.64/x
  3. Step 3: Cross multiply
    85,340.16x = 127,874.88 × 61,856.64
  4. Step 4: Simplify right side
    85,340.16x = 7,909,910,417.20
  5. Step 5: Solve for x
    x = 7,909,910,417.20/85,340.16
  6. Step 6: Final answer
    x = 92,686.85

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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.