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Finding the Fourth Proportional to 113,982, 157,295.22 and 63,681

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Solution

The fourth proportional to 113,982, 157,295.22 and 63,681 is: 87,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,982 : 157,295.22 = 63,681 : x
  2. Step 2: Convert to fraction form
    113,982/157,295.22 = 63,681/x
  3. Step 3: Cross multiply
    113,982x = 157,295.22 × 63,681
  4. Step 4: Simplify right side
    113,982x = 10,016,716,904.82
  5. Step 5: Solve for x
    x = 10,016,716,904.82/113,982
  6. Step 6: Final answer
    x = 87,879.81

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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.