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Finding the Fourth Proportional to 92,681.28, 138,978 and 42,746.58

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Solution

The fourth proportional to 92,681.28, 138,978 and 42,746.58 is: 64,099.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,681.28 : 138,978 = 42,746.58 : x
  2. Step 2: Convert to fraction form
    92,681.28/138,978 = 42,746.58/x
  3. Step 3: Cross multiply
    92,681.28x = 138,978 × 42,746.58
  4. Step 4: Simplify right side
    92,681.28x = 5,940,834,195.24
  5. Step 5: Solve for x
    x = 5,940,834,195.24/92,681.28
  6. Step 6: Final answer
    x = 64,099.61

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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.