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Finding the Fourth Proportional to 53,315, 73,581.20 and 30,959

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Solution

The fourth proportional to 53,315, 73,581.20 and 30,959 is: 42,727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,315 : 73,581.20 = 30,959 : x
  2. Step 2: Convert to fraction form
    53,315/73,581.20 = 30,959/x
  3. Step 3: Cross multiply
    53,315x = 73,581.20 × 30,959
  4. Step 4: Simplify right side
    53,315x = 2,278,000,370.80
  5. Step 5: Solve for x
    x = 2,278,000,370.80/53,315
  6. Step 6: Final answer
    x = 42,727.19

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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.