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Finding the Fourth Proportional to 78,122.60, 107,779.46 and 57,753.58

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Solution

The fourth proportional to 78,122.60, 107,779.46 and 57,753.58 is: 79,677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,122.60 : 107,779.46 = 57,753.58 : x
  2. Step 2: Convert to fraction form
    78,122.60/107,779.46 = 57,753.58/x
  3. Step 3: Cross multiply
    78,122.60x = 107,779.46 × 57,753.58
  4. Step 4: Simplify right side
    78,122.60x = 6,224,649,107.25
  5. Step 5: Solve for x
    x = 6,224,649,107.25/78,122.60
  6. Step 6: Final answer
    x = 79,677.95

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1.5x scale

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.