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Finding the Fourth Proportional to 77,963.61, 107,589.90 and 42,153.65

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Solution

The fourth proportional to 77,963.61, 107,589.90 and 42,153.65 is: 58,172.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,963.61 : 107,589.90 = 42,153.65 : x
  2. Step 2: Convert to fraction form
    77,963.61/107,589.90 = 42,153.65/x
  3. Step 3: Cross multiply
    77,963.61x = 107,589.90 × 42,153.65
  4. Step 4: Simplify right side
    77,963.61x = 4,535,306,450.19
  5. Step 5: Solve for x
    x = 4,535,306,450.19/77,963.61
  6. Step 6: Final answer
    x = 58,172.09

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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.