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Finding the Fourth Proportional to 218,661.57, 328,038.38 and 123,937.14

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Solution

The fourth proportional to 218,661.57, 328,038.38 and 123,937.14 is: 185,931.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,661.57 : 328,038.38 = 123,937.14 : x
  2. Step 2: Convert to fraction form
    218,661.57/328,038.38 = 123,937.14/x
  3. Step 3: Cross multiply
    218,661.57x = 328,038.38 × 123,937.14
  4. Step 4: Simplify right side
    218,661.57x = 40,656,138,627.43
  5. Step 5: Solve for x
    x = 40,656,138,627.43/218,661.57
  6. Step 6: Final answer
    x = 185,931.80

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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.