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Finding the Fourth Proportional to 138,856.50, 208,294.47 and 55,750.50

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Solution

The fourth proportional to 138,856.50, 208,294.47 and 55,750.50 is: 83,629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,856.50 : 208,294.47 = 55,750.50 : x
  2. Step 2: Convert to fraction form
    138,856.50/208,294.47 = 55,750.50/x
  3. Step 3: Cross multiply
    138,856.50x = 208,294.47 × 55,750.50
  4. Step 4: Simplify right side
    138,856.50x = 11,612,520,849.74
  5. Step 5: Solve for x
    x = 11,612,520,849.74/138,856.50
  6. Step 6: Final answer
    x = 83,629.65

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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.