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Finding the Fourth Proportional to 138,142.03, 190,620.55 and 77,711.42

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Solution

The fourth proportional to 138,142.03, 190,620.55 and 77,711.42 is: 107,233.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,142.03 : 190,620.55 = 77,711.42 : x
  2. Step 2: Convert to fraction form
    138,142.03/190,620.55 = 77,711.42/x
  3. Step 3: Cross multiply
    138,142.03x = 190,620.55 × 77,711.42
  4. Step 4: Simplify right side
    138,142.03x = 14,813,393,621.68
  5. Step 5: Solve for x
    x = 14,813,393,621.68/138,142.03
  6. Step 6: Final answer
    x = 107,233.07

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1.5x scale

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.