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Finding the Fourth Proportional to 78,007.66, 107,650.42 and 42,197.66

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Solution

The fourth proportional to 78,007.66, 107,650.42 and 42,197.66 is: 58,232.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,007.66 : 107,650.42 = 42,197.66 : x
  2. Step 2: Convert to fraction form
    78,007.66/107,650.42 = 42,197.66/x
  3. Step 3: Cross multiply
    78,007.66x = 107,650.42 × 42,197.66
  4. Step 4: Simplify right side
    78,007.66x = 4,542,595,581.96
  5. Step 5: Solve for x
    x = 4,542,595,581.96/78,007.66
  6. Step 6: Final answer
    x = 58,232.69

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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.