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Finding the Fourth Proportional to 150,047, 206,851.14 and 102,239

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Solution

The fourth proportional to 150,047, 206,851.14 and 102,239 is: 140,944.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,047 : 206,851.14 = 102,239 : x
  2. Step 2: Convert to fraction form
    150,047/206,851.14 = 102,239/x
  3. Step 3: Cross multiply
    150,047x = 206,851.14 × 102,239
  4. Step 4: Simplify right side
    150,047x = 21,148,253,702.46
  5. Step 5: Solve for x
    x = 21,148,253,702.46/150,047
  6. Step 6: Final answer
    x = 140,944.20

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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.