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Finding the Fourth Proportional to 123,154.84, 169,840.20 and 77,753.94

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Solution

The fourth proportional to 123,154.84, 169,840.20 and 77,753.94 is: 107,228.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,154.84 : 169,840.20 = 77,753.94 : x
  2. Step 2: Convert to fraction form
    123,154.84/169,840.20 = 77,753.94/x
  3. Step 3: Cross multiply
    123,154.84x = 169,840.20 × 77,753.94
  4. Step 4: Simplify right side
    123,154.84x = 13,205,744,720.39
  5. Step 5: Solve for x
    x = 13,205,744,720.39/123,154.84
  6. Step 6: Final answer
    x = 107,228.79

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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.