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Finding the Fourth Proportional to 138,142.59, 190,621.33 and 77,711.98

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Solution

The fourth proportional to 138,142.59, 190,621.33 and 77,711.98 is: 107,233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,142.59 : 190,621.33 = 77,711.98 : x
  2. Step 2: Convert to fraction form
    138,142.59/190,621.33 = 77,711.98/x
  3. Step 3: Cross multiply
    138,142.59x = 190,621.33 × 77,711.98
  4. Step 4: Simplify right side
    138,142.59x = 14,813,560,984.53
  5. Step 5: Solve for x
    x = 14,813,560,984.53/138,142.59
  6. Step 6: Final answer
    x = 107,233.84

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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.