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Finding the Fourth Proportional to 145,616.39, 218,424.43 and 45,785.31

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Solution

The fourth proportional to 145,616.39, 218,424.43 and 45,785.31 is: 68,677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,616.39 : 218,424.43 = 45,785.31 : x
  2. Step 2: Convert to fraction form
    145,616.39/218,424.43 = 45,785.31/x
  3. Step 3: Cross multiply
    145,616.39x = 218,424.43 × 45,785.31
  4. Step 4: Simplify right side
    145,616.39x = 10,000,630,239.12
  5. Step 5: Solve for x
    x = 10,000,630,239.12/145,616.39
  6. Step 6: Final answer
    x = 68,677.92

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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.