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Finding the Fourth Proportional to 77,117.66, 115,676.31 and 20,965.93

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Solution

The fourth proportional to 77,117.66, 115,676.31 and 20,965.93 is: 31,448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,117.66 : 115,676.31 = 20,965.93 : x
  2. Step 2: Convert to fraction form
    77,117.66/115,676.31 = 20,965.93/x
  3. Step 3: Cross multiply
    77,117.66x = 115,676.31 × 20,965.93
  4. Step 4: Simplify right side
    77,117.66x = 2,425,261,207.55
  5. Step 5: Solve for x
    x = 2,425,261,207.55/77,117.66
  6. Step 6: Final answer
    x = 31,448.84

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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.