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Finding the Fourth Proportional to 115,728.42, 173,658.17 and 45,656.94

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Solution

The fourth proportional to 115,728.42, 173,658.17 and 45,656.94 is: 68,511.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,728.42 : 173,658.17 = 45,656.94 : x
  2. Step 2: Convert to fraction form
    115,728.42/173,658.17 = 45,656.94/x
  3. Step 3: Cross multiply
    115,728.42x = 173,658.17 × 45,656.94
  4. Step 4: Simplify right side
    115,728.42x = 7,928,700,648.20
  5. Step 5: Solve for x
    x = 7,928,700,648.20/115,728.42
  6. Step 6: Final answer
    x = 68,511.27

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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.