Home / 205,839.28-284,052.10-113,962.65

Finding the Fourth Proportional to 205,839.28, 284,052.10 and 113,962.65

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Solution

The fourth proportional to 205,839.28, 284,052.10 and 113,962.65 is: 157,265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,839.28 : 284,052.10 = 113,962.65 : x
  2. Step 2: Convert to fraction form
    205,839.28/284,052.10 = 113,962.65/x
  3. Step 3: Cross multiply
    205,839.28x = 284,052.10 × 113,962.65
  4. Step 4: Simplify right side
    205,839.28x = 32,371,329,484.25
  5. Step 5: Solve for x
    x = 32,371,329,484.25/205,839.28
  6. Step 6: Final answer
    x = 157,265.08

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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.