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Finding the Fourth Proportional to 57,876.16, 86,827.32 and 18,435.52

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Solution

The fourth proportional to 57,876.16, 86,827.32 and 18,435.52 is: 27,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,876.16 : 86,827.32 = 18,435.52 : x
  2. Step 2: Convert to fraction form
    57,876.16/86,827.32 = 18,435.52/x
  3. Step 3: Cross multiply
    57,876.16x = 86,827.32 × 18,435.52
  4. Step 4: Simplify right side
    57,876.16x = 1,600,706,794.41
  5. Step 5: Solve for x
    x = 1,600,706,794.41/57,876.16
  6. Step 6: Final answer
    x = 27,657.45

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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.