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Finding the Fourth Proportional to 223,355.61, 308,232 and 121,381.92

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Solution

The fourth proportional to 223,355.61, 308,232 and 121,381.92 is: 167,507.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,355.61 : 308,232 = 121,381.92 : x
  2. Step 2: Convert to fraction form
    223,355.61/308,232 = 121,381.92/x
  3. Step 3: Cross multiply
    223,355.61x = 308,232 × 121,381.92
  4. Step 4: Simplify right side
    223,355.61x = 37,413,791,965.44
  5. Step 5: Solve for x
    x = 37,413,791,965.44/223,355.61
  6. Step 6: Final answer
    x = 167,507.73

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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.