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Finding the Fourth Proportional to 57,401.60, 86,078.10 and 17,948.12

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Solution

The fourth proportional to 57,401.60, 86,078.10 and 17,948.12 is: 26,914.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,401.60 : 86,078.10 = 17,948.12 : x
  2. Step 2: Convert to fraction form
    57,401.60/86,078.10 = 17,948.12/x
  3. Step 3: Cross multiply
    57,401.60x = 86,078.10 × 17,948.12
  4. Step 4: Simplify right side
    57,401.60x = 1,544,940,068.17
  5. Step 5: Solve for x
    x = 1,544,940,068.17/57,401.60
  6. Step 6: Final answer
    x = 26,914.58

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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.