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Finding the Fourth Proportional to 56,640.50, 78,163.98 and 31,490

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Solution

The fourth proportional to 56,640.50, 78,163.98 and 31,490 is: 43,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,640.50 : 78,163.98 = 31,490 : x
  2. Step 2: Convert to fraction form
    56,640.50/78,163.98 = 31,490/x
  3. Step 3: Cross multiply
    56,640.50x = 78,163.98 × 31,490
  4. Step 4: Simplify right side
    56,640.50x = 2,461,383,730.20
  5. Step 5: Solve for x
    x = 2,461,383,730.20/56,640.50
  6. Step 6: Final answer
    x = 43,456.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.