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Finding the Fourth Proportional to 100,409.68, 138,451.74 and 64,062.50

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Solution

The fourth proportional to 100,409.68, 138,451.74 and 64,062.50 is: 88,333.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,409.68 : 138,451.74 = 64,062.50 : x
  2. Step 2: Convert to fraction form
    100,409.68/138,451.74 = 64,062.50/x
  3. Step 3: Cross multiply
    100,409.68x = 138,451.74 × 64,062.50
  4. Step 4: Simplify right side
    100,409.68x = 8,869,564,593.75
  5. Step 5: Solve for x
    x = 8,869,564,593.75/100,409.68
  6. Step 6: Final answer
    x = 88,333.76

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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.