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Finding the Fourth Proportional to 89,495.38, 134,489.12 and 83,643.78

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Solution

The fourth proportional to 89,495.38, 134,489.12 and 83,643.78 is: 125,695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,495.38 : 134,489.12 = 83,643.78 : x
  2. Step 2: Convert to fraction form
    89,495.38/134,489.12 = 83,643.78/x
  3. Step 3: Cross multiply
    89,495.38x = 134,489.12 × 83,643.78
  4. Step 4: Simplify right side
    89,495.38x = 11,249,178,451.79
  5. Step 5: Solve for x
    x = 11,249,178,451.79/89,495.38
  6. Step 6: Final answer
    x = 125,695.63

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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.