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Finding the Fourth Proportional to 160,122, 240,162.32 and 71,355.30

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Solution

The fourth proportional to 160,122, 240,162.32 and 71,355.30 is: 107,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,122 : 240,162.32 = 71,355.30 : x
  2. Step 2: Convert to fraction form
    160,122/240,162.32 = 71,355.30/x
  3. Step 3: Cross multiply
    160,122x = 240,162.32 × 71,355.30
  4. Step 4: Simplify right side
    160,122x = 17,136,854,392.30
  5. Step 5: Solve for x
    x = 17,136,854,392.30/160,122
  6. Step 6: Final answer
    x = 107,023.73

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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.