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Finding the Fourth Proportional to 77,999.70, 107,639.60 and 42,189.69

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Solution

The fourth proportional to 77,999.70, 107,639.60 and 42,189.69 is: 58,221.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,999.70 : 107,639.60 = 42,189.69 : x
  2. Step 2: Convert to fraction form
    77,999.70/107,639.60 = 42,189.69/x
  3. Step 3: Cross multiply
    77,999.70x = 107,639.60 × 42,189.69
  4. Step 4: Simplify right side
    77,999.70x = 4,541,281,144.78
  5. Step 5: Solve for x
    x = 4,541,281,144.78/77,999.70
  6. Step 6: Final answer
    x = 58,221.78

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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.