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Finding the Fourth Proportional to 78,049.73, 107,708.62 and 42,239.73

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Solution

The fourth proportional to 78,049.73, 107,708.62 and 42,239.73 is: 58,290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,049.73 : 107,708.62 = 42,239.73 : x
  2. Step 2: Convert to fraction form
    78,049.73/107,708.62 = 42,239.73/x
  3. Step 3: Cross multiply
    78,049.73x = 107,708.62 × 42,239.73
  4. Step 4: Simplify right side
    78,049.73x = 4,549,583,027.47
  5. Step 5: Solve for x
    x = 4,549,583,027.47/78,049.73
  6. Step 6: Final answer
    x = 58,290.82

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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.