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Finding the Fourth Proportional to 61,172.88, 84,411.78 and 34,309.80

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Solution

The fourth proportional to 61,172.88, 84,411.78 and 34,309.80 is: 47,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,172.88 : 84,411.78 = 34,309.80 : x
  2. Step 2: Convert to fraction form
    61,172.88/84,411.78 = 34,309.80/x
  3. Step 3: Cross multiply
    61,172.88x = 84,411.78 × 34,309.80
  4. Step 4: Simplify right side
    61,172.88x = 2,896,151,289.44
  5. Step 5: Solve for x
    x = 2,896,151,289.44/61,172.88
  6. Step 6: Final answer
    x = 47,343.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.