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Finding the Fourth Proportional to 189,662.34, 261,752.13 and 103,634.40

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Solution

The fourth proportional to 189,662.34, 261,752.13 and 103,634.40 is: 143,025.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,662.34 : 261,752.13 = 103,634.40 : x
  2. Step 2: Convert to fraction form
    189,662.34/261,752.13 = 103,634.40/x
  3. Step 3: Cross multiply
    189,662.34x = 261,752.13 × 103,634.40
  4. Step 4: Simplify right side
    189,662.34x = 27,126,523,959.70
  5. Step 5: Solve for x
    x = 27,126,523,959.70/189,662.34
  6. Step 6: Final answer
    x = 143,025.35

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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.