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Finding the Fourth Proportional to 313,102.71, 432,081.89 and 169,862.72

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Solution

The fourth proportional to 313,102.71, 432,081.89 and 169,862.72 is: 234,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,102.71 : 432,081.89 = 169,862.72 : x
  2. Step 2: Convert to fraction form
    313,102.71/432,081.89 = 169,862.72/x
  3. Step 3: Cross multiply
    313,102.71x = 432,081.89 × 169,862.72
  4. Step 4: Simplify right side
    313,102.71x = 73,394,605,098.14
  5. Step 5: Solve for x
    x = 73,394,605,098.14/313,102.71
  6. Step 6: Final answer
    x = 234,410.64

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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.