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Finding the Fourth Proportional to 223,474.68, 308,401.12 and 121,507

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Solution

The fourth proportional to 223,474.68, 308,401.12 and 121,507 is: 167,682.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,474.68 : 308,401.12 = 121,507 : x
  2. Step 2: Convert to fraction form
    223,474.68/308,401.12 = 121,507/x
  3. Step 3: Cross multiply
    223,474.68x = 308,401.12 × 121,507
  4. Step 4: Simplify right side
    223,474.68x = 37,472,894,887.84
  5. Step 5: Solve for x
    x = 37,472,894,887.84/223,474.68
  6. Step 6: Final answer
    x = 167,682.96

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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.