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Finding the Fourth Proportional to 157,276, 217,049.52 and 90,212.32

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Solution

The fourth proportional to 157,276, 217,049.52 and 90,212.32 is: 124,497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,276 : 217,049.52 = 90,212.32 : x
  2. Step 2: Convert to fraction form
    157,276/217,049.52 = 90,212.32/x
  3. Step 3: Cross multiply
    157,276x = 217,049.52 × 90,212.32
  4. Step 4: Simplify right side
    157,276x = 19,580,540,754.09
  5. Step 5: Solve for x
    x = 19,580,540,754.09/157,276
  6. Step 6: Final answer
    x = 124,497.96

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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.