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Finding the Fourth Proportional to 51,647.40, 77,470.94 and 29,147.87

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Solution

The fourth proportional to 51,647.40, 77,470.94 and 29,147.87 is: 43,721.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,647.40 : 77,470.94 = 29,147.87 : x
  2. Step 2: Convert to fraction form
    51,647.40/77,470.94 = 29,147.87/x
  3. Step 3: Cross multiply
    51,647.40x = 77,470.94 × 29,147.87
  4. Step 4: Simplify right side
    51,647.40x = 2,258,113,154.44
  5. Step 5: Solve for x
    x = 2,258,113,154.44/51,647.40
  6. Step 6: Final answer
    x = 43,721.72

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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.