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Finding the Fourth Proportional to 252,129.65, 347,938.91 and 138,952.40

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Solution

The fourth proportional to 252,129.65, 347,938.91 and 138,952.40 is: 191,754.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,129.65 : 347,938.91 = 138,952.40 : x
  2. Step 2: Convert to fraction form
    252,129.65/347,938.91 = 138,952.40/x
  3. Step 3: Cross multiply
    252,129.65x = 347,938.91 × 138,952.40
  4. Step 4: Simplify right side
    252,129.65x = 48,346,944,684.50
  5. Step 5: Solve for x
    x = 48,346,944,684.50/252,129.65
  6. Step 6: Final answer
    x = 191,754.30

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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.