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Finding the Fourth Proportional to 57,411.30, 86,079.54 and 19,968.50

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Solution

The fourth proportional to 57,411.30, 86,079.54 and 19,968.50 is: 29,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,411.30 : 86,079.54 = 19,968.50 : x
  2. Step 2: Convert to fraction form
    57,411.30/86,079.54 = 19,968.50/x
  3. Step 3: Cross multiply
    57,411.30x = 86,079.54 × 19,968.50
  4. Step 4: Simplify right side
    57,411.30x = 1,718,879,294.49
  5. Step 5: Solve for x
    x = 1,718,879,294.49/57,411.30
  6. Step 6: Final answer
    x = 29,939.74

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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.