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Finding the Fourth Proportional to 78,161.41, 107,862.57 and 42,352.39

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Solution

The fourth proportional to 78,161.41, 107,862.57 and 42,352.39 is: 58,446.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,161.41 : 107,862.57 = 42,352.39 : x
  2. Step 2: Convert to fraction form
    78,161.41/107,862.57 = 42,352.39/x
  3. Step 3: Cross multiply
    78,161.41x = 107,862.57 × 42,352.39
  4. Step 4: Simplify right side
    78,161.41x = 4,568,237,631.04
  5. Step 5: Solve for x
    x = 4,568,237,631.04/78,161.41
  6. Step 6: Final answer
    x = 58,446.20

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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.