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Finding the Fourth Proportional to 78,201.92, 107,920 and 44,668.16

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Solution

The fourth proportional to 78,201.92, 107,920 and 44,668.16 is: 61,642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,201.92 : 107,920 = 44,668.16 : x
  2. Step 2: Convert to fraction form
    78,201.92/107,920 = 44,668.16/x
  3. Step 3: Cross multiply
    78,201.92x = 107,920 × 44,668.16
  4. Step 4: Simplify right side
    78,201.92x = 4,820,587,827.20
  5. Step 5: Solve for x
    x = 4,820,587,827.20/78,201.92
  6. Step 6: Final answer
    x = 61,642.83

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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.