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Finding the Fourth Proportional to 56,901.72, 85,412.70 and 31,963.08

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Solution

The fourth proportional to 56,901.72, 85,412.70 and 31,963.08 is: 47,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,901.72 : 85,412.70 = 31,963.08 : x
  2. Step 2: Convert to fraction form
    56,901.72/85,412.70 = 31,963.08/x
  3. Step 3: Cross multiply
    56,901.72x = 85,412.70 × 31,963.08
  4. Step 4: Simplify right side
    56,901.72x = 2,730,052,963.12
  5. Step 5: Solve for x
    x = 2,730,052,963.12/56,901.72
  6. Step 6: Final answer
    x = 47,978.39

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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.