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Finding the Fourth Proportional to 157,698.78, 217,591.83 and 90,617.82

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Solution

The fourth proportional to 157,698.78, 217,591.83 and 90,617.82 is: 125,033.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,698.78 : 217,591.83 = 90,617.82 : x
  2. Step 2: Convert to fraction form
    157,698.78/217,591.83 = 90,617.82/x
  3. Step 3: Cross multiply
    157,698.78x = 217,591.83 × 90,617.82
  4. Step 4: Simplify right side
    157,698.78x = 19,717,697,284.41
  5. Step 5: Solve for x
    x = 19,717,697,284.41/157,698.78
  6. Step 6: Final answer
    x = 125,033.92

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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.