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Finding the Fourth Proportional to 78,117, 117,195.48 and 22,713

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Solution

The fourth proportional to 78,117, 117,195.48 and 22,713 is: 34,075.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,117 : 117,195.48 = 22,713 : x
  2. Step 2: Convert to fraction form
    78,117/117,195.48 = 22,713/x
  3. Step 3: Cross multiply
    78,117x = 117,195.48 × 22,713
  4. Step 4: Simplify right side
    78,117x = 2,661,860,937.24
  5. Step 5: Solve for x
    x = 2,661,860,937.24/78,117
  6. Step 6: Final answer
    x = 34,075.31

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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.