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Finding the Fourth Proportional to 145,644, 218,550.90 and 61,398.96

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Solution

The fourth proportional to 145,644, 218,550.90 and 61,398.96 is: 92,134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,644 : 218,550.90 = 61,398.96 : x
  2. Step 2: Convert to fraction form
    145,644/218,550.90 = 61,398.96/x
  3. Step 3: Cross multiply
    145,644x = 218,550.90 × 61,398.96
  4. Step 4: Simplify right side
    145,644x = 13,418,797,967.06
  5. Step 5: Solve for x
    x = 13,418,797,967.06/145,644
  6. Step 6: Final answer
    x = 92,134.23

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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.