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Finding the Fourth Proportional to 123,767.80, 185,651.70 and 81,777.40

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Solution

The fourth proportional to 123,767.80, 185,651.70 and 81,777.40 is: 122,666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,767.80 : 185,651.70 = 81,777.40 : x
  2. Step 2: Convert to fraction form
    123,767.80/185,651.70 = 81,777.40/x
  3. Step 3: Cross multiply
    123,767.80x = 185,651.70 × 81,777.40
  4. Step 4: Simplify right side
    123,767.80x = 15,182,113,331.58
  5. Step 5: Solve for x
    x = 15,182,113,331.58/123,767.80
  6. Step 6: Final answer
    x = 122,666.10

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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.