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Finding the Fourth Proportional to 102,409.80, 141,308.34 and 57,077.88

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Solution

The fourth proportional to 102,409.80, 141,308.34 and 57,077.88 is: 78,757.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,409.80 : 141,308.34 = 57,077.88 : x
  2. Step 2: Convert to fraction form
    102,409.80/141,308.34 = 57,077.88/x
  3. Step 3: Cross multiply
    102,409.80x = 141,308.34 × 57,077.88
  4. Step 4: Simplify right side
    102,409.80x = 8,065,580,473.52
  5. Step 5: Solve for x
    x = 8,065,580,473.52/102,409.80
  6. Step 6: Final answer
    x = 78,757.90

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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.