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Finding the Fourth Proportional to 83,886.54, 115,744.38 and 61,237.86

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Solution

The fourth proportional to 83,886.54, 115,744.38 and 61,237.86 is: 84,494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,886.54 : 115,744.38 = 61,237.86 : x
  2. Step 2: Convert to fraction form
    83,886.54/115,744.38 = 61,237.86/x
  3. Step 3: Cross multiply
    83,886.54x = 115,744.38 × 61,237.86
  4. Step 4: Simplify right side
    83,886.54x = 7,087,938,138.23
  5. Step 5: Solve for x
    x = 7,087,938,138.23/83,886.54
  6. Step 6: Final answer
    x = 84,494.34

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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.