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Finding the Fourth Proportional to 56,250, 77,625.90 and 31,099.50

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Solution

The fourth proportional to 56,250, 77,625.90 and 31,099.50 is: 42,917.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,250 : 77,625.90 = 31,099.50 : x
  2. Step 2: Convert to fraction form
    56,250/77,625.90 = 31,099.50/x
  3. Step 3: Cross multiply
    56,250x = 77,625.90 × 31,099.50
  4. Step 4: Simplify right side
    56,250x = 2,414,126,677.05
  5. Step 5: Solve for x
    x = 2,414,126,677.05/56,250
  6. Step 6: Final answer
    x = 42,917.81

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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.