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Finding the Fourth Proportional to 138,996, 191,813.40 and 75,332.16

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Solution

The fourth proportional to 138,996, 191,813.40 and 75,332.16 is: 103,957.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,996 : 191,813.40 = 75,332.16 : x
  2. Step 2: Convert to fraction form
    138,996/191,813.40 = 75,332.16/x
  3. Step 3: Cross multiply
    138,996x = 191,813.40 × 75,332.16
  4. Step 4: Simplify right side
    138,996x = 14,449,717,738.94
  5. Step 5: Solve for x
    x = 14,449,717,738.94/138,996
  6. Step 6: Final answer
    x = 103,957.80

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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.