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Finding the Fourth Proportional to 77,184, 115,774.62 and 21,023.19

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Solution

The fourth proportional to 77,184, 115,774.62 and 21,023.19 is: 31,534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,184 : 115,774.62 = 21,023.19 : x
  2. Step 2: Convert to fraction form
    77,184/115,774.62 = 21,023.19/x
  3. Step 3: Cross multiply
    77,184x = 115,774.62 × 21,023.19
  4. Step 4: Simplify right side
    77,184x = 2,433,951,833.44
  5. Step 5: Solve for x
    x = 2,433,951,833.44/77,184
  6. Step 6: Final answer
    x = 31,534.41

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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.