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Finding the Fourth Proportional to 113,805.76, 157,067.76 and 63,508

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Solution

The fourth proportional to 113,805.76, 157,067.76 and 63,508 is: 87,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,805.76 : 157,067.76 = 63,508 : x
  2. Step 2: Convert to fraction form
    113,805.76/157,067.76 = 63,508/x
  3. Step 3: Cross multiply
    113,805.76x = 157,067.76 × 63,508
  4. Step 4: Simplify right side
    113,805.76x = 9,975,059,302.08
  5. Step 5: Solve for x
    x = 9,975,059,302.08/113,805.76
  6. Step 6: Final answer
    x = 87,649.86

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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.