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Finding the Fourth Proportional to 77,089.65, 115,642.16 and 20,930.66

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Solution

The fourth proportional to 77,089.65, 115,642.16 and 20,930.66 is: 31,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,089.65 : 115,642.16 = 20,930.66 : x
  2. Step 2: Convert to fraction form
    77,089.65/115,642.16 = 20,930.66/x
  3. Step 3: Cross multiply
    77,089.65x = 115,642.16 × 20,930.66
  4. Step 4: Simplify right side
    77,089.65x = 2,420,466,732.63
  5. Step 5: Solve for x
    x = 2,420,466,732.63/77,089.65
  6. Step 6: Final answer
    x = 31,398.08

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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.