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Finding the Fourth Proportional to 220,730, 304,586.34 and 123,911.72

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Solution

The fourth proportional to 220,730, 304,586.34 and 123,911.72 is: 170,986.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,730 : 304,586.34 = 123,911.72 : x
  2. Step 2: Convert to fraction form
    220,730/304,586.34 = 123,911.72/x
  3. Step 3: Cross multiply
    220,730x = 304,586.34 × 123,911.72
  4. Step 4: Simplify right side
    220,730x = 37,741,817,277.90
  5. Step 5: Solve for x
    x = 37,741,817,277.90/220,730
  6. Step 6: Final answer
    x = 170,986.35

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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.