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Finding the Fourth Proportional to 157,827, 217,807.74 and 90,759

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Solution

The fourth proportional to 157,827, 217,807.74 and 90,759 is: 125,251.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,827 : 217,807.74 = 90,759 : x
  2. Step 2: Convert to fraction form
    157,827/217,807.74 = 90,759/x
  3. Step 3: Cross multiply
    157,827x = 217,807.74 × 90,759
  4. Step 4: Simplify right side
    157,827x = 19,768,012,674.66
  5. Step 5: Solve for x
    x = 19,768,012,674.66/157,827
  6. Step 6: Final answer
    x = 125,251.15

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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.