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Finding the Fourth Proportional to 72,871.16, 109,306.76 and 56,255.45

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Solution

The fourth proportional to 72,871.16, 109,306.76 and 56,255.45 is: 84,383.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,871.16 : 109,306.76 = 56,255.45 : x
  2. Step 2: Convert to fraction form
    72,871.16/109,306.76 = 56,255.45/x
  3. Step 3: Cross multiply
    72,871.16x = 109,306.76 × 56,255.45
  4. Step 4: Simplify right side
    72,871.16x = 6,149,100,144.03
  5. Step 5: Solve for x
    x = 6,149,100,144.03/72,871.16
  6. Step 6: Final answer
    x = 84,383.18

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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.