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Finding the Fourth Proportional to 223,381.32, 308,267.67 and 121,407

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Solution

The fourth proportional to 223,381.32, 308,267.67 and 121,407 is: 167,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,381.32 : 308,267.67 = 121,407 : x
  2. Step 2: Convert to fraction form
    223,381.32/308,267.67 = 121,407/x
  3. Step 3: Cross multiply
    223,381.32x = 308,267.67 × 121,407
  4. Step 4: Simplify right side
    223,381.32x = 37,425,853,011.69
  5. Step 5: Solve for x
    x = 37,425,853,011.69/223,381.32
  6. Step 6: Final answer
    x = 167,542.45

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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.