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Finding the Fourth Proportional to 78,162.61, 107,864.13 and 42,352.60

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Solution

The fourth proportional to 78,162.61, 107,864.13 and 42,352.60 is: 58,446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,162.61 : 107,864.13 = 42,352.60 : x
  2. Step 2: Convert to fraction form
    78,162.61/107,864.13 = 42,352.60/x
  3. Step 3: Cross multiply
    78,162.61x = 107,864.13 × 42,352.60
  4. Step 4: Simplify right side
    78,162.61x = 4,568,326,352.24
  5. Step 5: Solve for x
    x = 4,568,326,352.24/78,162.61
  6. Step 6: Final answer
    x = 58,446.44

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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.