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Finding the Fourth Proportional to 101,812.93, 152,658.03 and 45,642.87

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Solution

The fourth proportional to 101,812.93, 152,658.03 and 45,642.87 is: 68,436.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,812.93 : 152,658.03 = 45,642.87 : x
  2. Step 2: Convert to fraction form
    101,812.93/152,658.03 = 45,642.87/x
  3. Step 3: Cross multiply
    101,812.93x = 152,658.03 × 45,642.87
  4. Step 4: Simplify right side
    101,812.93x = 6,967,750,617.75
  5. Step 5: Solve for x
    x = 6,967,750,617.75/101,812.93
  6. Step 6: Final answer
    x = 68,436.79

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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.