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Finding the Fourth Proportional to 56,856.78, 85,153.86 and 31,859.46

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Solution

The fourth proportional to 56,856.78, 85,153.86 and 31,859.46 is: 47,715.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,856.78 : 85,153.86 = 31,859.46 : x
  2. Step 2: Convert to fraction form
    56,856.78/85,153.86 = 31,859.46/x
  3. Step 3: Cross multiply
    56,856.78x = 85,153.86 × 31,859.46
  4. Step 4: Simplify right side
    56,856.78x = 2,712,955,996.52
  5. Step 5: Solve for x
    x = 2,712,955,996.52/56,856.78
  6. Step 6: Final answer
    x = 47,715.61

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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.