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Finding the Fourth Proportional to 176,143.26, 243,077.70 and 100,693.38

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Solution

The fourth proportional to 176,143.26, 243,077.70 and 100,693.38 is: 138,956.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,143.26 : 243,077.70 = 100,693.38 : x
  2. Step 2: Convert to fraction form
    176,143.26/243,077.70 = 100,693.38/x
  3. Step 3: Cross multiply
    176,143.26x = 243,077.70 × 100,693.38
  4. Step 4: Simplify right side
    176,143.26x = 24,476,315,215.63
  5. Step 5: Solve for x
    x = 24,476,315,215.63/176,143.26
  6. Step 6: Final answer
    x = 138,956.87

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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.