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Finding the Fourth Proportional to 60,257.40, 90,378.38 and 15,887.64

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Solution

The fourth proportional to 60,257.40, 90,378.38 and 15,887.64 is: 23,829.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,257.40 : 90,378.38 = 15,887.64 : x
  2. Step 2: Convert to fraction form
    60,257.40/90,378.38 = 15,887.64/x
  3. Step 3: Cross multiply
    60,257.40x = 90,378.38 × 15,887.64
  4. Step 4: Simplify right side
    60,257.40x = 1,435,899,165.22
  5. Step 5: Solve for x
    x = 1,435,899,165.22/60,257.40
  6. Step 6: Final answer
    x = 23,829.42

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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.