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Finding the Fourth Proportional to 145,616.16, 218,458.80 and 75,528.48

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Solution

The fourth proportional to 145,616.16, 218,458.80 and 75,528.48 is: 113,310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,616.16 : 218,458.80 = 75,528.48 : x
  2. Step 2: Convert to fraction form
    145,616.16/218,458.80 = 75,528.48/x
  3. Step 3: Cross multiply
    145,616.16x = 218,458.80 × 75,528.48
  4. Step 4: Simplify right side
    145,616.16x = 16,499,861,106.62
  5. Step 5: Solve for x
    x = 16,499,861,106.62/145,616.16
  6. Step 6: Final answer
    x = 113,310.65

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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.