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Finding the Fourth Proportional to 223,983.50, 309,097.24 and 123,381.50

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Solution

The fourth proportional to 223,983.50, 309,097.24 and 123,381.50 is: 170,266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,983.50 : 309,097.24 = 123,381.50 : x
  2. Step 2: Convert to fraction form
    223,983.50/309,097.24 = 123,381.50/x
  3. Step 3: Cross multiply
    223,983.50x = 309,097.24 × 123,381.50
  4. Step 4: Simplify right side
    223,983.50x = 38,136,881,117.06
  5. Step 5: Solve for x
    x = 38,136,881,117.06/223,983.50
  6. Step 6: Final answer
    x = 170,266.48

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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.