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Finding the Fourth Proportional to 218,753.19, 328,131.41 and 78,513.03

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Solution

The fourth proportional to 218,753.19, 328,131.41 and 78,513.03 is: 117,770.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,753.19 : 328,131.41 = 78,513.03 : x
  2. Step 2: Convert to fraction form
    218,753.19/328,131.41 = 78,513.03/x
  3. Step 3: Cross multiply
    218,753.19x = 328,131.41 × 78,513.03
  4. Step 4: Simplify right side
    218,753.19x = 25,762,590,844.71
  5. Step 5: Solve for x
    x = 25,762,590,844.71/218,753.19
  6. Step 6: Final answer
    x = 117,770.13

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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.