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Finding the Fourth Proportional to 99,165.60, 148,515.12 and 76,800.96

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Solution

The fourth proportional to 99,165.60, 148,515.12 and 76,800.96 is: 115,020.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,165.60 : 148,515.12 = 76,800.96 : x
  2. Step 2: Convert to fraction form
    99,165.60/148,515.12 = 76,800.96/x
  3. Step 3: Cross multiply
    99,165.60x = 148,515.12 × 76,800.96
  4. Step 4: Simplify right side
    99,165.60x = 11,406,103,790.52
  5. Step 5: Solve for x
    x = 11,406,103,790.52/99,165.60
  6. Step 6: Final answer
    x = 115,020.77

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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.