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Finding the Fourth Proportional to 78,317.74, 108,078.84 and 42,507.74

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Solution

The fourth proportional to 78,317.74, 108,078.84 and 42,507.74 is: 58,660.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,317.74 : 108,078.84 = 42,507.74 : x
  2. Step 2: Convert to fraction form
    78,317.74/108,078.84 = 42,507.74/x
  3. Step 3: Cross multiply
    78,317.74x = 108,078.84 × 42,507.74
  4. Step 4: Simplify right side
    78,317.74x = 4,594,187,230.22
  5. Step 5: Solve for x
    x = 4,594,187,230.22/78,317.74
  6. Step 6: Final answer
    x = 58,660.88

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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.