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Finding the Fourth Proportional to 57,159.78, 85,708.27 and 17,705.94

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Solution

The fourth proportional to 57,159.78, 85,708.27 and 17,705.94 is: 26,549.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,159.78 : 85,708.27 = 17,705.94 : x
  2. Step 2: Convert to fraction form
    57,159.78/85,708.27 = 17,705.94/x
  3. Step 3: Cross multiply
    57,159.78x = 85,708.27 × 17,705.94
  4. Step 4: Simplify right side
    57,159.78x = 1,517,545,486.12
  5. Step 5: Solve for x
    x = 1,517,545,486.12/57,159.78
  6. Step 6: Final answer
    x = 26,549.18

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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.