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Finding the Fourth Proportional to 78,123.60, 117,150.84 and 22,723.92

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Solution

The fourth proportional to 78,123.60, 117,150.84 and 22,723.92 is: 34,075.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,123.60 : 117,150.84 = 22,723.92 : x
  2. Step 2: Convert to fraction form
    78,123.60/117,150.84 = 22,723.92/x
  3. Step 3: Cross multiply
    78,123.60x = 117,150.84 × 22,723.92
  4. Step 4: Simplify right side
    78,123.60x = 2,662,126,316.09
  5. Step 5: Solve for x
    x = 2,662,126,316.09/78,123.60
  6. Step 6: Final answer
    x = 34,075.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.