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Finding the Fourth Proportional to 157,893.40, 217,869.10 and 89,912.94

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Solution

The fourth proportional to 157,893.40, 217,869.10 and 89,912.94 is: 124,066.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,893.40 : 217,869.10 = 89,912.94 : x
  2. Step 2: Convert to fraction form
    157,893.40/217,869.10 = 89,912.94/x
  3. Step 3: Cross multiply
    157,893.40x = 217,869.10 × 89,912.94
  4. Step 4: Simplify right side
    157,893.40x = 19,589,251,316.15
  5. Step 5: Solve for x
    x = 19,589,251,316.15/157,893.40
  6. Step 6: Final answer
    x = 124,066.31

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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.