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Finding the Fourth Proportional to 657,107.88, 985,662.78 and 158,471.88

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Solution

The fourth proportional to 657,107.88, 985,662.78 and 158,471.88 is: 237,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,107.88 : 985,662.78 = 158,471.88 : x
  2. Step 2: Convert to fraction form
    657,107.88/985,662.78 = 158,471.88/x
  3. Step 3: Cross multiply
    657,107.88x = 985,662.78 × 158,471.88
  4. Step 4: Simplify right side
    657,107.88x = 156,199,833,792.63
  5. Step 5: Solve for x
    x = 156,199,833,792.63/657,107.88
  6. Step 6: Final answer
    x = 237,708.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.