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Finding the Fourth Proportional to 76,981.86, 115,484.40 and 32,608.80

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Solution

The fourth proportional to 76,981.86, 115,484.40 and 32,608.80 is: 48,918.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,981.86 : 115,484.40 = 32,608.80 : x
  2. Step 2: Convert to fraction form
    76,981.86/115,484.40 = 32,608.80/x
  3. Step 3: Cross multiply
    76,981.86x = 115,484.40 × 32,608.80
  4. Step 4: Simplify right side
    76,981.86x = 3,765,807,702.72
  5. Step 5: Solve for x
    x = 3,765,807,702.72/76,981.86
  6. Step 6: Final answer
    x = 48,918.12

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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.