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Finding the Fourth Proportional to 160,229.40, 240,271.20 and 71,437.20

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Solution

The fourth proportional to 160,229.40, 240,271.20 and 71,437.20 is: 107,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,229.40 : 240,271.20 = 71,437.20 : x
  2. Step 2: Convert to fraction form
    160,229.40/240,271.20 = 71,437.20/x
  3. Step 3: Cross multiply
    160,229.40x = 240,271.20 × 71,437.20
  4. Step 4: Simplify right side
    160,229.40x = 17,164,301,768.64
  5. Step 5: Solve for x
    x = 17,164,301,768.64/160,229.40
  6. Step 6: Final answer
    x = 107,123.30

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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.