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Finding the Fourth Proportional to 138,952.14, 208,270.70 and 63,917.38

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Solution

The fourth proportional to 138,952.14, 208,270.70 and 63,917.38 is: 95,803.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,952.14 : 208,270.70 = 63,917.38 : x
  2. Step 2: Convert to fraction form
    138,952.14/208,270.70 = 63,917.38/x
  3. Step 3: Cross multiply
    138,952.14x = 208,270.70 × 63,917.38
  4. Step 4: Simplify right side
    138,952.14x = 13,312,117,474.77
  5. Step 5: Solve for x
    x = 13,312,117,474.77/138,952.14
  6. Step 6: Final answer
    x = 95,803.62

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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.