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Finding the Fourth Proportional to 123,155.84, 169,841.58 and 77,754.94

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Solution

The fourth proportional to 123,155.84, 169,841.58 and 77,754.94 is: 107,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,155.84 : 169,841.58 = 77,754.94 : x
  2. Step 2: Convert to fraction form
    123,155.84/169,841.58 = 77,754.94/x
  3. Step 3: Cross multiply
    123,155.84x = 169,841.58 × 77,754.94
  4. Step 4: Simplify right side
    123,155.84x = 13,206,021,862.41
  5. Step 5: Solve for x
    x = 13,206,021,862.41/123,155.84
  6. Step 6: Final answer
    x = 107,230.17

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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.