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Finding the Fourth Proportional to 52,408.80, 78,580.80 and 30,211.20

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Solution

The fourth proportional to 52,408.80, 78,580.80 and 30,211.20 is: 45,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,408.80 : 78,580.80 = 30,211.20 : x
  2. Step 2: Convert to fraction form
    52,408.80/78,580.80 = 30,211.20/x
  3. Step 3: Cross multiply
    52,408.80x = 78,580.80 × 30,211.20
  4. Step 4: Simplify right side
    52,408.80x = 2,374,020,264.96
  5. Step 5: Solve for x
    x = 2,374,020,264.96/52,408.80
  6. Step 6: Final answer
    x = 45,298.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.