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Finding the Fourth Proportional to 78,400.98, 108,189.88 and 44,408.78

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Solution

The fourth proportional to 78,400.98, 108,189.88 and 44,408.78 is: 61,282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,400.98 : 108,189.88 = 44,408.78 : x
  2. Step 2: Convert to fraction form
    78,400.98/108,189.88 = 44,408.78/x
  3. Step 3: Cross multiply
    78,400.98x = 108,189.88 × 44,408.78
  4. Step 4: Simplify right side
    78,400.98x = 4,804,581,191.25
  5. Step 5: Solve for x
    x = 4,804,581,191.25/78,400.98
  6. Step 6: Final answer
    x = 61,282.16

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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.