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Finding the Fourth Proportional to 538,114.38, 807,181.29 and 138,763.50

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Solution

The fourth proportional to 538,114.38, 807,181.29 and 138,763.50 is: 208,147.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,114.38 : 807,181.29 = 138,763.50 : x
  2. Step 2: Convert to fraction form
    538,114.38/807,181.29 = 138,763.50/x
  3. Step 3: Cross multiply
    538,114.38x = 807,181.29 × 138,763.50
  4. Step 4: Simplify right side
    538,114.38x = 112,007,300,934.92
  5. Step 5: Solve for x
    x = 112,007,300,934.92/538,114.38
  6. Step 6: Final answer
    x = 208,147.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.