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Finding the Fourth Proportional to 65,026.80, 89,731.80 and 38,167.20

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Solution

The fourth proportional to 65,026.80, 89,731.80 and 38,167.20 is: 52,667.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,026.80 : 89,731.80 = 38,167.20 : x
  2. Step 2: Convert to fraction form
    65,026.80/89,731.80 = 38,167.20/x
  3. Step 3: Cross multiply
    65,026.80x = 89,731.80 × 38,167.20
  4. Step 4: Simplify right side
    65,026.80x = 3,424,811,556.96
  5. Step 5: Solve for x
    x = 3,424,811,556.96/65,026.80
  6. Step 6: Final answer
    x = 52,667.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.