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Finding the Fourth Proportional to 78,242.34, 107,974.48 and 42,432.34

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Solution

The fourth proportional to 78,242.34, 107,974.48 and 42,432.34 is: 58,556.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,242.34 : 107,974.48 = 42,432.34 : x
  2. Step 2: Convert to fraction form
    78,242.34/107,974.48 = 42,432.34/x
  3. Step 3: Cross multiply
    78,242.34x = 107,974.48 × 42,432.34
  4. Step 4: Simplify right side
    78,242.34x = 4,581,609,846.68
  5. Step 5: Solve for x
    x = 4,581,609,846.68/78,242.34
  6. Step 6: Final answer
    x = 58,556.66

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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.