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Finding the Fourth Proportional to 223,981.84, 309,094.96 and 123,379.84

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Solution

The fourth proportional to 223,981.84, 309,094.96 and 123,379.84 is: 170,264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,981.84 : 309,094.96 = 123,379.84 : x
  2. Step 2: Convert to fraction form
    223,981.84/309,094.96 = 123,379.84/x
  3. Step 3: Cross multiply
    223,981.84x = 309,094.96 × 123,379.84
  4. Step 4: Simplify right side
    223,981.84x = 38,136,086,709.61
  5. Step 5: Solve for x
    x = 38,136,086,709.61/223,981.84
  6. Step 6: Final answer
    x = 170,264.19

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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.