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Finding the Fourth Proportional to 107,272.80, 160,930.80 and 89,863.20

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Solution

The fourth proportional to 107,272.80, 160,930.80 and 89,863.20 is: 134,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,272.80 : 160,930.80 = 89,863.20 : x
  2. Step 2: Convert to fraction form
    107,272.80/160,930.80 = 89,863.20/x
  3. Step 3: Cross multiply
    107,272.80x = 160,930.80 × 89,863.20
  4. Step 4: Simplify right side
    107,272.80x = 14,461,756,666.56
  5. Step 5: Solve for x
    x = 14,461,756,666.56/107,272.80
  6. Step 6: Final answer
    x = 134,812.89

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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.