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Finding the Fourth Proportional to 223,421.10, 308,320.52 and 121,446.56

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Solution

The fourth proportional to 223,421.10, 308,320.52 and 121,446.56 is: 167,595.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,421.10 : 308,320.52 = 121,446.56 : x
  2. Step 2: Convert to fraction form
    223,421.10/308,320.52 = 121,446.56/x
  3. Step 3: Cross multiply
    223,421.10x = 308,320.52 × 121,446.56
  4. Step 4: Simplify right side
    223,421.10x = 37,444,466,531.41
  5. Step 5: Solve for x
    x = 37,444,466,531.41/223,421.10
  6. Step 6: Final answer
    x = 167,595.93

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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.