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Finding the Fourth Proportional to 56,879.38, 78,493.02 and 31,385.98

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Solution

The fourth proportional to 56,879.38, 78,493.02 and 31,385.98 is: 43,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,879.38 : 78,493.02 = 31,385.98 : x
  2. Step 2: Convert to fraction form
    56,879.38/78,493.02 = 31,385.98/x
  3. Step 3: Cross multiply
    56,879.38x = 78,493.02 × 31,385.98
  4. Step 4: Simplify right side
    56,879.38x = 2,463,580,355.86
  5. Step 5: Solve for x
    x = 2,463,580,355.86/56,879.38
  6. Step 6: Final answer
    x = 43,312.36

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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.