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Finding the Fourth Proportional to 78,583.99, 108,494.90 and 54,701.95

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Solution

The fourth proportional to 78,583.99, 108,494.90 and 54,701.95 is: 75,522.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,583.99 : 108,494.90 = 54,701.95 : x
  2. Step 2: Convert to fraction form
    78,583.99/108,494.90 = 54,701.95/x
  3. Step 3: Cross multiply
    78,583.99x = 108,494.90 × 54,701.95
  4. Step 4: Simplify right side
    78,583.99x = 5,934,882,595.06
  5. Step 5: Solve for x
    x = 5,934,882,595.06/78,583.99
  6. Step 6: Final answer
    x = 75,522.80

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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.