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Finding the Fourth Proportional to 77,711.55, 107,242.09 and 45,882.49

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Solution

The fourth proportional to 77,711.55, 107,242.09 and 45,882.49 is: 63,317.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,711.55 : 107,242.09 = 45,882.49 : x
  2. Step 2: Convert to fraction form
    77,711.55/107,242.09 = 45,882.49/x
  3. Step 3: Cross multiply
    77,711.55x = 107,242.09 × 45,882.49
  4. Step 4: Simplify right side
    77,711.55x = 4,920,534,122.00
  5. Step 5: Solve for x
    x = 4,920,534,122.00/77,711.55
  6. Step 6: Final answer
    x = 63,317.93

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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.