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Finding the Fourth Proportional to 89,671.35, 123,741.72 and 51,428.91

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Solution

The fourth proportional to 89,671.35, 123,741.72 and 51,428.91 is: 70,969.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,671.35 : 123,741.72 = 51,428.91 : x
  2. Step 2: Convert to fraction form
    89,671.35/123,741.72 = 51,428.91/x
  3. Step 3: Cross multiply
    89,671.35x = 123,741.72 × 51,428.91
  4. Step 4: Simplify right side
    89,671.35x = 6,363,901,781.13
  5. Step 5: Solve for x
    x = 6,363,901,781.13/89,671.35
  6. Step 6: Final answer
    x = 70,969.18

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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.