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Finding the Fourth Proportional to 56,856, 78,462.90 and 31,707.12

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Solution

The fourth proportional to 56,856, 78,462.90 and 31,707.12 is: 43,756.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,856 : 78,462.90 = 31,707.12 : x
  2. Step 2: Convert to fraction form
    56,856/78,462.90 = 31,707.12/x
  3. Step 3: Cross multiply
    56,856x = 78,462.90 × 31,707.12
  4. Step 4: Simplify right side
    56,856x = 2,487,832,585.85
  5. Step 5: Solve for x
    x = 2,487,832,585.85/56,856
  6. Step 6: Final answer
    x = 43,756.73

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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.