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Finding the Fourth Proportional to 143,805.66, 198,452.48 and 83,412.06

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Solution

The fourth proportional to 143,805.66, 198,452.48 and 83,412.06 is: 115,109.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,805.66 : 198,452.48 = 83,412.06 : x
  2. Step 2: Convert to fraction form
    143,805.66/198,452.48 = 83,412.06/x
  3. Step 3: Cross multiply
    143,805.66x = 198,452.48 × 83,412.06
  4. Step 4: Simplify right side
    143,805.66x = 16,553,329,751.85
  5. Step 5: Solve for x
    x = 16,553,329,751.85/143,805.66
  6. Step 6: Final answer
    x = 115,109.03

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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.