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Finding the Fourth Proportional to 138,991.28, 208,319.26 and 64,008.76

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Solution

The fourth proportional to 138,991.28, 208,319.26 and 64,008.76 is: 95,935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,991.28 : 208,319.26 = 64,008.76 : x
  2. Step 2: Convert to fraction form
    138,991.28/208,319.26 = 64,008.76/x
  3. Step 3: Cross multiply
    138,991.28x = 208,319.26 × 64,008.76
  4. Step 4: Simplify right side
    138,991.28x = 13,334,257,516.72
  5. Step 5: Solve for x
    x = 13,334,257,516.72/138,991.28
  6. Step 6: Final answer
    x = 95,935.93

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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.