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Finding the Fourth Proportional to 100,715.40, 151,189.80 and 54,059.40

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Solution

The fourth proportional to 100,715.40, 151,189.80 and 54,059.40 is: 81,151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,715.40 : 151,189.80 = 54,059.40 : x
  2. Step 2: Convert to fraction form
    100,715.40/151,189.80 = 54,059.40/x
  3. Step 3: Cross multiply
    100,715.40x = 151,189.80 × 54,059.40
  4. Step 4: Simplify right side
    100,715.40x = 8,173,229,874.12
  5. Step 5: Solve for x
    x = 8,173,229,874.12/100,715.40
  6. Step 6: Final answer
    x = 81,151.74

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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.