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Finding the Fourth Proportional to 103,717.96, 143,133.68 and 63,431

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Solution

The fourth proportional to 103,717.96, 143,133.68 and 63,431 is: 87,536.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,717.96 : 143,133.68 = 63,431 : x
  2. Step 2: Convert to fraction form
    103,717.96/143,133.68 = 63,431/x
  3. Step 3: Cross multiply
    103,717.96x = 143,133.68 × 63,431
  4. Step 4: Simplify right side
    103,717.96x = 9,079,112,456.08
  5. Step 5: Solve for x
    x = 9,079,112,456.08/103,717.96
  6. Step 6: Final answer
    x = 87,536.55

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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.