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Finding the Fourth Proportional to 77,077.71, 115,623.90 and 29,709.18

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Solution

The fourth proportional to 77,077.71, 115,623.90 and 29,709.18 is: 44,566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,077.71 : 115,623.90 = 29,709.18 : x
  2. Step 2: Convert to fraction form
    77,077.71/115,623.90 = 29,709.18/x
  3. Step 3: Cross multiply
    77,077.71x = 115,623.90 × 29,709.18
  4. Step 4: Simplify right side
    77,077.71x = 3,435,091,257.40
  5. Step 5: Solve for x
    x = 3,435,091,257.40/77,077.71
  6. Step 6: Final answer
    x = 44,566.60

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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.