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Finding the Fourth Proportional to 202,147.72, 278,752.80 and 140,965.04

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Solution

The fourth proportional to 202,147.72, 278,752.80 and 140,965.04 is: 194,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,147.72 : 278,752.80 = 140,965.04 : x
  2. Step 2: Convert to fraction form
    202,147.72/278,752.80 = 140,965.04/x
  3. Step 3: Cross multiply
    202,147.72x = 278,752.80 × 140,965.04
  4. Step 4: Simplify right side
    202,147.72x = 39,294,399,602.11
  5. Step 5: Solve for x
    x = 39,294,399,602.11/202,147.72
  6. Step 6: Final answer
    x = 194,384.58

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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.