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Finding the Fourth Proportional to 157,833.72, 217,801.71 and 89,867.30

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Solution

The fourth proportional to 157,833.72, 217,801.71 and 89,867.30 is: 124,011.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,833.72 : 217,801.71 = 89,867.30 : x
  2. Step 2: Convert to fraction form
    157,833.72/217,801.71 = 89,867.30/x
  3. Step 3: Cross multiply
    157,833.72x = 217,801.71 × 89,867.30
  4. Step 4: Simplify right side
    157,833.72x = 19,573,250,524.07
  5. Step 5: Solve for x
    x = 19,573,250,524.07/157,833.72
  6. Step 6: Final answer
    x = 124,011.84

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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.