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Finding the Fourth Proportional to 107,242.83, 160,461.45 and 66,728.66

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Solution

The fourth proportional to 107,242.83, 160,461.45 and 66,728.66 is: 99,842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,242.83 : 160,461.45 = 66,728.66 : x
  2. Step 2: Convert to fraction form
    107,242.83/160,461.45 = 66,728.66/x
  3. Step 3: Cross multiply
    107,242.83x = 160,461.45 × 66,728.66
  4. Step 4: Simplify right side
    107,242.83x = 10,707,376,737.85
  5. Step 5: Solve for x
    x = 10,707,376,737.85/107,242.83
  6. Step 6: Final answer
    x = 99,842.36

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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.