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Finding the Fourth Proportional to 223,983.75, 309,097.58 and 123,381.75

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Solution

The fourth proportional to 223,983.75, 309,097.58 and 123,381.75 is: 170,266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,983.75 : 309,097.58 = 123,381.75 : x
  2. Step 2: Convert to fraction form
    223,983.75/309,097.58 = 123,381.75/x
  3. Step 3: Cross multiply
    223,983.75x = 309,097.58 × 123,381.75
  4. Step 4: Simplify right side
    223,983.75x = 38,137,000,341.17
  5. Step 5: Solve for x
    x = 38,137,000,341.17/223,983.75
  6. Step 6: Final answer
    x = 170,266.82

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1.5x scale

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.