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Finding the Fourth Proportional to 138,842.64, 208,237.59 and 67,693.86

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Solution

The fourth proportional to 138,842.64, 208,237.59 and 67,693.86 is: 101,527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,842.64 : 208,237.59 = 67,693.86 : x
  2. Step 2: Convert to fraction form
    138,842.64/208,237.59 = 67,693.86/x
  3. Step 3: Cross multiply
    138,842.64x = 208,237.59 × 67,693.86
  4. Step 4: Simplify right side
    138,842.64x = 14,096,406,264.20
  5. Step 5: Solve for x
    x = 14,096,406,264.20/138,842.64
  6. Step 6: Final answer
    x = 101,527.93

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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.