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Finding the Fourth Proportional to 78,371.70, 108,160.92 and 46,118.88

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Solution

The fourth proportional to 78,371.70, 108,160.92 and 46,118.88 is: 63,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,371.70 : 108,160.92 = 46,118.88 : x
  2. Step 2: Convert to fraction form
    78,371.70/108,160.92 = 46,118.88/x
  3. Step 3: Cross multiply
    78,371.70x = 108,160.92 × 46,118.88
  4. Step 4: Simplify right side
    78,371.70x = 4,988,260,490.17
  5. Step 5: Solve for x
    x = 4,988,260,490.17/78,371.70
  6. Step 6: Final answer
    x = 63,648.75

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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.