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Finding the Fourth Proportional to 53,430.42, 80,149.80 and 17,891.87

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Solution

The fourth proportional to 53,430.42, 80,149.80 and 17,891.87 is: 26,839.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,430.42 : 80,149.80 = 17,891.87 : x
  2. Step 2: Convert to fraction form
    53,430.42/80,149.80 = 17,891.87/x
  3. Step 3: Cross multiply
    53,430.42x = 80,149.80 × 17,891.87
  4. Step 4: Simplify right side
    53,430.42x = 1,434,029,401.38
  5. Step 5: Solve for x
    x = 1,434,029,401.38/53,430.42
  6. Step 6: Final answer
    x = 26,839.19

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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.