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Finding the Fourth Proportional to 252,143.32, 347,952.66 and 138,966.08

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Solution

The fourth proportional to 252,143.32, 347,952.66 and 138,966.08 is: 191,770.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,143.32 : 347,952.66 = 138,966.08 : x
  2. Step 2: Convert to fraction form
    252,143.32/347,952.66 = 138,966.08/x
  3. Step 3: Cross multiply
    252,143.32x = 347,952.66 × 138,966.08
  4. Step 4: Simplify right side
    252,143.32x = 48,353,617,185.77
  5. Step 5: Solve for x
    x = 48,353,617,185.77/252,143.32
  6. Step 6: Final answer
    x = 191,770.37

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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.