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Finding the Fourth Proportional to 159,767.04, 221,410.55 and 157,512

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Solution

The fourth proportional to 159,767.04, 221,410.55 and 157,512 is: 218,285.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,767.04 : 221,410.55 = 157,512 : x
  2. Step 2: Convert to fraction form
    159,767.04/221,410.55 = 157,512/x
  3. Step 3: Cross multiply
    159,767.04x = 221,410.55 × 157,512
  4. Step 4: Simplify right side
    159,767.04x = 34,874,817,764.04
  5. Step 5: Solve for x
    x = 34,874,817,764.04/159,767.04
  6. Step 6: Final answer
    x = 218,285.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.