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Finding the Fourth Proportional to 78,123.84, 107,821.44 and 44,592

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Solution

The fourth proportional to 78,123.84, 107,821.44 and 44,592 is: 61,542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,123.84 : 107,821.44 = 44,592 : x
  2. Step 2: Convert to fraction form
    78,123.84/107,821.44 = 44,592/x
  3. Step 3: Cross multiply
    78,123.84x = 107,821.44 × 44,592
  4. Step 4: Simplify right side
    78,123.84x = 4,807,973,652.48
  5. Step 5: Solve for x
    x = 4,807,973,652.48/78,123.84
  6. Step 6: Final answer
    x = 61,542.98

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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.