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Finding the Fourth Proportional to 78,324.95, 108,085.53 and 42,514.20

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Solution

The fourth proportional to 78,324.95, 108,085.53 and 42,514.20 is: 58,668.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,324.95 : 108,085.53 = 42,514.20 : x
  2. Step 2: Convert to fraction form
    78,324.95/108,085.53 = 42,514.20/x
  3. Step 3: Cross multiply
    78,324.95x = 108,085.53 × 42,514.20
  4. Step 4: Simplify right side
    78,324.95x = 4,595,169,839.53
  5. Step 5: Solve for x
    x = 4,595,169,839.53/78,324.95
  6. Step 6: Final answer
    x = 58,668.03

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1.5x scale

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.