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Finding the Fourth Proportional to 78,277.68, 108,023.24 and 42,467.69

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Solution

The fourth proportional to 78,277.68, 108,023.24 and 42,467.69 is: 58,605.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,277.68 : 108,023.24 = 42,467.69 : x
  2. Step 2: Convert to fraction form
    78,277.68/108,023.24 = 42,467.69/x
  3. Step 3: Cross multiply
    78,277.68x = 108,023.24 × 42,467.69
  4. Step 4: Simplify right side
    78,277.68x = 4,587,496,716.66
  5. Step 5: Solve for x
    x = 4,587,496,716.66/78,277.68
  6. Step 6: Final answer
    x = 58,605.43

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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.