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Finding the Fourth Proportional to 78,478.44, 108,299.72 and 42,668.44

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Solution

The fourth proportional to 78,478.44, 108,299.72 and 42,668.44 is: 58,882.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,478.44 : 108,299.72 = 42,668.44 : x
  2. Step 2: Convert to fraction form
    78,478.44/108,299.72 = 42,668.44/x
  3. Step 3: Cross multiply
    78,478.44x = 108,299.72 × 42,668.44
  4. Step 4: Simplify right side
    78,478.44x = 4,620,980,104.84
  5. Step 5: Solve for x
    x = 4,620,980,104.84/78,478.44
  6. Step 6: Final answer
    x = 58,882.16

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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.