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Finding the Fourth Proportional to 224,288.16, 309,515.76 and 123,684

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Solution

The fourth proportional to 224,288.16, 309,515.76 and 123,684 is: 170,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,288.16 : 309,515.76 = 123,684 : x
  2. Step 2: Convert to fraction form
    224,288.16/309,515.76 = 123,684/x
  3. Step 3: Cross multiply
    224,288.16x = 309,515.76 × 123,684
  4. Step 4: Simplify right side
    224,288.16x = 38,282,147,259.84
  5. Step 5: Solve for x
    x = 38,282,147,259.84/224,288.16
  6. Step 6: Final answer
    x = 170,682.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.