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Finding the Fourth Proportional to 100,489.92, 138,647.70 and 64,700.64

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Solution

The fourth proportional to 100,489.92, 138,647.70 and 64,700.64 is: 89,268.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,489.92 : 138,647.70 = 64,700.64 : x
  2. Step 2: Convert to fraction form
    100,489.92/138,647.70 = 64,700.64/x
  3. Step 3: Cross multiply
    100,489.92x = 138,647.70 × 64,700.64
  4. Step 4: Simplify right side
    100,489.92x = 8,970,594,924.53
  5. Step 5: Solve for x
    x = 8,970,594,924.53/100,489.92
  6. Step 6: Final answer
    x = 89,268.60

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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.