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Finding the Fourth Proportional to 99,369.76, 148,909.68 and 46,078

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Solution

The fourth proportional to 99,369.76, 148,909.68 and 46,078 is: 69,049.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,369.76 : 148,909.68 = 46,078 : x
  2. Step 2: Convert to fraction form
    99,369.76/148,909.68 = 46,078/x
  3. Step 3: Cross multiply
    99,369.76x = 148,909.68 × 46,078
  4. Step 4: Simplify right side
    99,369.76x = 6,861,460,235.04
  5. Step 5: Solve for x
    x = 6,861,460,235.04/99,369.76
  6. Step 6: Final answer
    x = 69,049.78

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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.