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Finding the Fourth Proportional to 72,978.33, 100,711.85 and 40,712.70

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Solution

The fourth proportional to 72,978.33, 100,711.85 and 40,712.70 is: 56,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,978.33 : 100,711.85 = 40,712.70 : x
  2. Step 2: Convert to fraction form
    72,978.33/100,711.85 = 40,712.70/x
  3. Step 3: Cross multiply
    72,978.33x = 100,711.85 × 40,712.70
  4. Step 4: Simplify right side
    72,978.33x = 4,100,251,131.93
  5. Step 5: Solve for x
    x = 4,100,251,131.93/72,978.33
  6. Step 6: Final answer
    x = 56,184.50

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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.