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Finding the Fourth Proportional to 48,612.80, 72,919.20 and 31,102.40

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Solution

The fourth proportional to 48,612.80, 72,919.20 and 31,102.40 is: 46,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,612.80 : 72,919.20 = 31,102.40 : x
  2. Step 2: Convert to fraction form
    48,612.80/72,919.20 = 31,102.40/x
  3. Step 3: Cross multiply
    48,612.80x = 72,919.20 × 31,102.40
  4. Step 4: Simplify right side
    48,612.80x = 2,267,962,126.08
  5. Step 5: Solve for x
    x = 2,267,962,126.08/48,612.80
  6. Step 6: Final answer
    x = 46,653.60

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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.