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Finding the Fourth Proportional to 56,977.20, 85,465.80 and 48,520.80

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Solution

The fourth proportional to 56,977.20, 85,465.80 and 48,520.80 is: 72,781.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,977.20 : 85,465.80 = 48,520.80 : x
  2. Step 2: Convert to fraction form
    56,977.20/85,465.80 = 48,520.80/x
  3. Step 3: Cross multiply
    56,977.20x = 85,465.80 × 48,520.80
  4. Step 4: Simplify right side
    56,977.20x = 4,146,868,988.64
  5. Step 5: Solve for x
    x = 4,146,868,988.64/56,977.20
  6. Step 6: Final answer
    x = 72,781.20

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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.