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Finding the Fourth Proportional to 78,513.01, 117,751.80 and 22,351.87

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Solution

The fourth proportional to 78,513.01, 117,751.80 and 22,351.87 is: 33,522.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,513.01 : 117,751.80 = 22,351.87 : x
  2. Step 2: Convert to fraction form
    78,513.01/117,751.80 = 22,351.87/x
  3. Step 3: Cross multiply
    78,513.01x = 117,751.80 × 22,351.87
  4. Step 4: Simplify right side
    78,513.01x = 2,631,972,925.87
  5. Step 5: Solve for x
    x = 2,631,972,925.87/78,513.01
  6. Step 6: Final answer
    x = 33,522.76

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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.