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Finding the Fourth Proportional to 230,116.68, 317,557.26 and 129,514.68

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Solution

The fourth proportional to 230,116.68, 317,557.26 and 129,514.68 is: 178,728.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,116.68 : 317,557.26 = 129,514.68 : x
  2. Step 2: Convert to fraction form
    230,116.68/317,557.26 = 129,514.68/x
  3. Step 3: Cross multiply
    230,116.68x = 317,557.26 × 129,514.68
  4. Step 4: Simplify right side
    230,116.68x = 41,128,326,910.58
  5. Step 5: Solve for x
    x = 41,128,326,910.58/230,116.68
  6. Step 6: Final answer
    x = 178,728.14

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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.