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Finding the Fourth Proportional to 223,089.80, 334,634.70 and 212,721.80

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Solution

The fourth proportional to 223,089.80, 334,634.70 and 212,721.80 is: 319,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,089.80 : 334,634.70 = 212,721.80 : x
  2. Step 2: Convert to fraction form
    223,089.80/334,634.70 = 212,721.80/x
  3. Step 3: Cross multiply
    223,089.80x = 334,634.70 × 212,721.80
  4. Step 4: Simplify right side
    223,089.80x = 71,184,095,726.46
  5. Step 5: Solve for x
    x = 71,184,095,726.46/223,089.80
  6. Step 6: Final answer
    x = 319,082.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.