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Finding the Fourth Proportional to 76,961.78, 115,454.81 and 32,588.81

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Solution

The fourth proportional to 76,961.78, 115,454.81 and 32,588.81 is: 48,888.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,961.78 : 115,454.81 = 32,588.81 : x
  2. Step 2: Convert to fraction form
    76,961.78/115,454.81 = 32,588.81/x
  3. Step 3: Cross multiply
    76,961.78x = 115,454.81 × 32,588.81
  4. Step 4: Simplify right side
    76,961.78x = 3,762,534,370.87
  5. Step 5: Solve for x
    x = 3,762,534,370.87/76,961.78
  6. Step 6: Final answer
    x = 48,888.35

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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.