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Finding the Fourth Proportional to 205,482.81, 308,223.45 and 55,722.72

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Solution

The fourth proportional to 205,482.81, 308,223.45 and 55,722.72 is: 83,583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,482.81 : 308,223.45 = 55,722.72 : x
  2. Step 2: Convert to fraction form
    205,482.81/308,223.45 = 55,722.72/x
  3. Step 3: Cross multiply
    205,482.81x = 308,223.45 × 55,722.72
  4. Step 4: Simplify right side
    205,482.81x = 17,175,049,001.78
  5. Step 5: Solve for x
    x = 17,175,049,001.78/205,482.81
  6. Step 6: Final answer
    x = 83,583.87

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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.