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Finding the Fourth Proportional to 78,510.01, 117,747.31 and 22,348.87

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Solution

The fourth proportional to 78,510.01, 117,747.31 and 22,348.87 is: 33,518.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,510.01 : 117,747.31 = 22,348.87 : x
  2. Step 2: Convert to fraction form
    78,510.01/117,747.31 = 22,348.87/x
  3. Step 3: Cross multiply
    78,510.01x = 117,747.31 × 22,348.87
  4. Step 4: Simplify right side
    78,510.01x = 2,631,519,324.04
  5. Step 5: Solve for x
    x = 2,631,519,324.04/78,510.01
  6. Step 6: Final answer
    x = 33,518.27

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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.