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Finding the Fourth Proportional to 223,815.71, 308,767.59 and 147,236.28

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Solution

The fourth proportional to 223,815.71, 308,767.59 and 147,236.28 is: 203,121.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,815.71 : 308,767.59 = 147,236.28 : x
  2. Step 2: Convert to fraction form
    223,815.71/308,767.59 = 147,236.28/x
  3. Step 3: Cross multiply
    223,815.71x = 308,767.59 × 147,236.28
  4. Step 4: Simplify right side
    223,815.71x = 45,461,791,336.17
  5. Step 5: Solve for x
    x = 45,461,791,336.17/223,815.71
  6. Step 6: Final answer
    x = 203,121.54

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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.