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Finding the Fourth Proportional to 57,342.40, 85,984.80 and 26,142.40

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Solution

The fourth proportional to 57,342.40, 85,984.80 and 26,142.40 is: 39,200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,342.40 : 85,984.80 = 26,142.40 : x
  2. Step 2: Convert to fraction form
    57,342.40/85,984.80 = 26,142.40/x
  3. Step 3: Cross multiply
    57,342.40x = 85,984.80 × 26,142.40
  4. Step 4: Simplify right side
    57,342.40x = 2,247,849,035.52
  5. Step 5: Solve for x
    x = 2,247,849,035.52/57,342.40
  6. Step 6: Final answer
    x = 39,200.47

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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.