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Finding the Fourth Proportional to 77,808.64, 116,703.24 and 21,652.96

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Solution

The fourth proportional to 77,808.64, 116,703.24 and 21,652.96 is: 32,476.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,808.64 : 116,703.24 = 21,652.96 : x
  2. Step 2: Convert to fraction form
    77,808.64/116,703.24 = 21,652.96/x
  3. Step 3: Cross multiply
    77,808.64x = 116,703.24 × 21,652.96
  4. Step 4: Simplify right side
    77,808.64x = 2,526,970,587.59
  5. Step 5: Solve for x
    x = 2,526,970,587.59/77,808.64
  6. Step 6: Final answer
    x = 32,476.74

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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.