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Finding the Fourth Proportional to 78,643.77, 108,600.54 and 49,972.89

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Solution

The fourth proportional to 78,643.77, 108,600.54 and 49,972.89 is: 69,008.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,643.77 : 108,600.54 = 49,972.89 : x
  2. Step 2: Convert to fraction form
    78,643.77/108,600.54 = 49,972.89/x
  3. Step 3: Cross multiply
    78,643.77x = 108,600.54 × 49,972.89
  4. Step 4: Simplify right side
    78,643.77x = 5,427,082,839.36
  5. Step 5: Solve for x
    x = 5,427,082,839.36/78,643.77
  6. Step 6: Final answer
    x = 69,008.43

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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.