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Finding the Fourth Proportional to 78,524.92, 117,800.52 and 61,657.25

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Solution

The fourth proportional to 78,524.92, 117,800.52 and 61,657.25 is: 92,496.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,524.92 : 117,800.52 = 61,657.25 : x
  2. Step 2: Convert to fraction form
    78,524.92/117,800.52 = 61,657.25/x
  3. Step 3: Cross multiply
    78,524.92x = 117,800.52 × 61,657.25
  4. Step 4: Simplify right side
    78,524.92x = 7,263,256,111.77
  5. Step 5: Solve for x
    x = 7,263,256,111.77/78,524.92
  6. Step 6: Final answer
    x = 92,496.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.