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Finding the Fourth Proportional to 57,110.40, 85,656.15 and 19,159.20

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Solution

The fourth proportional to 57,110.40, 85,656.15 and 19,159.20 is: 28,735.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,110.40 : 85,656.15 = 19,159.20 : x
  2. Step 2: Convert to fraction form
    57,110.40/85,656.15 = 19,159.20/x
  3. Step 3: Cross multiply
    57,110.40x = 85,656.15 × 19,159.20
  4. Step 4: Simplify right side
    57,110.40x = 1,641,103,309.08
  5. Step 5: Solve for x
    x = 1,641,103,309.08/57,110.40
  6. Step 6: Final answer
    x = 28,735.63

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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.