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Finding the Fourth Proportional to 57,143.52, 85,644 and 44,045.28

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Solution

The fourth proportional to 57,143.52, 85,644 and 44,045.28 is: 66,012.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,143.52 : 85,644 = 44,045.28 : x
  2. Step 2: Convert to fraction form
    57,143.52/85,644 = 44,045.28/x
  3. Step 3: Cross multiply
    57,143.52x = 85,644 × 44,045.28
  4. Step 4: Simplify right side
    57,143.52x = 3,772,213,960.32
  5. Step 5: Solve for x
    x = 3,772,213,960.32/57,143.52
  6. Step 6: Final answer
    x = 66,012.98

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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.