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Finding the Fourth Proportional to 223,894, 308,973.72 and 123,292

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Solution

The fourth proportional to 223,894, 308,973.72 and 123,292 is: 170,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,894 : 308,973.72 = 123,292 : x
  2. Step 2: Convert to fraction form
    223,894/308,973.72 = 123,292/x
  3. Step 3: Cross multiply
    223,894x = 308,973.72 × 123,292
  4. Step 4: Simplify right side
    223,894x = 38,093,987,886.24
  5. Step 5: Solve for x
    x = 38,093,987,886.24/223,894
  6. Step 6: Final answer
    x = 170,142.96

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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.