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Finding the Fourth Proportional to 214,172.80, 321,259.92 and 54,248.68

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Solution

The fourth proportional to 214,172.80, 321,259.92 and 54,248.68 is: 81,373.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,172.80 : 321,259.92 = 54,248.68 : x
  2. Step 2: Convert to fraction form
    214,172.80/321,259.92 = 54,248.68/x
  3. Step 3: Cross multiply
    214,172.80x = 321,259.92 × 54,248.68
  4. Step 4: Simplify right side
    214,172.80x = 17,427,926,596.91
  5. Step 5: Solve for x
    x = 17,427,926,596.91/214,172.80
  6. Step 6: Final answer
    x = 81,373.20

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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.