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Finding the Fourth Proportional to 56,887.72, 85,391.70 and 31,949.08

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Solution

The fourth proportional to 56,887.72, 85,391.70 and 31,949.08 is: 47,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,887.72 : 85,391.70 = 31,949.08 : x
  2. Step 2: Convert to fraction form
    56,887.72/85,391.70 = 31,949.08/x
  3. Step 3: Cross multiply
    56,887.72x = 85,391.70 × 31,949.08
  4. Step 4: Simplify right side
    56,887.72x = 2,728,186,254.64
  5. Step 5: Solve for x
    x = 2,728,186,254.64/56,887.72
  6. Step 6: Final answer
    x = 47,957.38

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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.