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Finding the Fourth Proportional to 77,288.50, 106,658.13 and 43,754.50

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Solution

The fourth proportional to 77,288.50, 106,658.13 and 43,754.50 is: 60,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,288.50 : 106,658.13 = 43,754.50 : x
  2. Step 2: Convert to fraction form
    77,288.50/106,658.13 = 43,754.50/x
  3. Step 3: Cross multiply
    77,288.50x = 106,658.13 × 43,754.50
  4. Step 4: Simplify right side
    77,288.50x = 4,666,773,149.09
  5. Step 5: Solve for x
    x = 4,666,773,149.09/77,288.50
  6. Step 6: Final answer
    x = 60,381.21

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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.