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Finding the Fourth Proportional to 223,914.72, 309,000.96 and 123,312

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Solution

The fourth proportional to 223,914.72, 309,000.96 and 123,312 is: 170,169.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,914.72 : 309,000.96 = 123,312 : x
  2. Step 2: Convert to fraction form
    223,914.72/309,000.96 = 123,312/x
  3. Step 3: Cross multiply
    223,914.72x = 309,000.96 × 123,312
  4. Step 4: Simplify right side
    223,914.72x = 38,103,526,379.52
  5. Step 5: Solve for x
    x = 38,103,526,379.52/223,914.72
  6. Step 6: Final answer
    x = 170,169.81

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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.