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Finding the Fourth Proportional to 230,057.40, 317,397.05 and 133,208.40

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Solution

The fourth proportional to 230,057.40, 317,397.05 and 133,208.40 is: 183,780.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,057.40 : 317,397.05 = 133,208.40 : x
  2. Step 2: Convert to fraction form
    230,057.40/317,397.05 = 133,208.40/x
  3. Step 3: Cross multiply
    230,057.40x = 317,397.05 × 133,208.40
  4. Step 4: Simplify right side
    230,057.40x = 42,279,954,218.95
  5. Step 5: Solve for x
    x = 42,279,954,218.95/230,057.40
  6. Step 6: Final answer
    x = 183,780.02

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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.