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Finding the Fourth Proportional to 138,197.76, 207,165.41 and 54,011.93

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Solution

The fourth proportional to 138,197.76, 207,165.41 and 54,011.93 is: 80,966.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,197.76 : 207,165.41 = 54,011.93 : x
  2. Step 2: Convert to fraction form
    138,197.76/207,165.41 = 54,011.93/x
  3. Step 3: Cross multiply
    138,197.76x = 207,165.41 × 54,011.93
  4. Step 4: Simplify right side
    138,197.76x = 11,189,402,317.45
  5. Step 5: Solve for x
    x = 11,189,402,317.45/138,197.76
  6. Step 6: Final answer
    x = 80,966.60

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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.