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Finding the Fourth Proportional to 138,900.17, 191,681.21 and 78,469.72

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Solution

The fourth proportional to 138,900.17, 191,681.21 and 78,469.72 is: 108,287.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,900.17 : 191,681.21 = 78,469.72 : x
  2. Step 2: Convert to fraction form
    138,900.17/191,681.21 = 78,469.72/x
  3. Step 3: Cross multiply
    138,900.17x = 191,681.21 × 78,469.72
  4. Step 4: Simplify right side
    138,900.17x = 15,041,170,594.93
  5. Step 5: Solve for x
    x = 15,041,170,594.93/138,900.17
  6. Step 6: Final answer
    x = 108,287.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.