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Finding the Fourth Proportional to 223,584, 308,547.12 and 121,610.20

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Solution

The fourth proportional to 223,584, 308,547.12 and 121,610.20 is: 167,822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,584 : 308,547.12 = 121,610.20 : x
  2. Step 2: Convert to fraction form
    223,584/308,547.12 = 121,610.20/x
  3. Step 3: Cross multiply
    223,584x = 308,547.12 × 121,610.20
  4. Step 4: Simplify right side
    223,584x = 37,522,476,972.62
  5. Step 5: Solve for x
    x = 37,522,476,972.62/223,584
  6. Step 6: Final answer
    x = 167,822.73

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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.