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Finding the Fourth Proportional to 72,883.80, 109,278.90 and 30,752.36

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Solution

The fourth proportional to 72,883.80, 109,278.90 and 30,752.36 is: 46,108.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,883.80 : 109,278.90 = 30,752.36 : x
  2. Step 2: Convert to fraction form
    72,883.80/109,278.90 = 30,752.36/x
  3. Step 3: Cross multiply
    72,883.80x = 109,278.90 × 30,752.36
  4. Step 4: Simplify right side
    72,883.80x = 3,360,584,073.20
  5. Step 5: Solve for x
    x = 3,360,584,073.20/72,883.80
  6. Step 6: Final answer
    x = 46,108.79

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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.