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Finding the Fourth Proportional to 105,494.40, 157,479.12 and 89,743.68

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Solution

The fourth proportional to 105,494.40, 157,479.12 and 89,743.68 is: 133,966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,494.40 : 157,479.12 = 89,743.68 : x
  2. Step 2: Convert to fraction form
    105,494.40/157,479.12 = 89,743.68/x
  3. Step 3: Cross multiply
    105,494.40x = 157,479.12 × 89,743.68
  4. Step 4: Simplify right side
    105,494.40x = 14,132,755,751.96
  5. Step 5: Solve for x
    x = 14,132,755,751.96/105,494.40
  6. Step 6: Final answer
    x = 133,966.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.