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Finding the Fourth Proportional to 107,658.72, 148,415.06 and 75,728.52

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Solution

The fourth proportional to 107,658.72, 148,415.06 and 75,728.52 is: 104,397.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,658.72 : 148,415.06 = 75,728.52 : x
  2. Step 2: Convert to fraction form
    107,658.72/148,415.06 = 75,728.52/x
  3. Step 3: Cross multiply
    107,658.72x = 148,415.06 × 75,728.52
  4. Step 4: Simplify right side
    107,658.72x = 11,239,253,028.83
  5. Step 5: Solve for x
    x = 11,239,253,028.83/107,658.72
  6. Step 6: Final answer
    x = 104,397.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.