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Finding the Fourth Proportional to 78,144.63, 117,192.51 and 28,218.21

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Solution

The fourth proportional to 78,144.63, 117,192.51 and 28,218.21 is: 42,318.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,144.63 : 117,192.51 = 28,218.21 : x
  2. Step 2: Convert to fraction form
    78,144.63/117,192.51 = 28,218.21/x
  3. Step 3: Cross multiply
    78,144.63x = 117,192.51 × 28,218.21
  4. Step 4: Simplify right side
    78,144.63x = 3,306,962,857.61
  5. Step 5: Solve for x
    x = 3,306,962,857.61/78,144.63
  6. Step 6: Final answer
    x = 42,318.49

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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.