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Finding the Fourth Proportional to 57,775.41, 86,663.12 and 31,531.41

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Solution

The fourth proportional to 57,775.41, 86,663.12 and 31,531.41 is: 47,297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,775.41 : 86,663.12 = 31,531.41 : x
  2. Step 2: Convert to fraction form
    57,775.41/86,663.12 = 31,531.41/x
  3. Step 3: Cross multiply
    57,775.41x = 86,663.12 × 31,531.41
  4. Step 4: Simplify right side
    57,775.41x = 2,732,610,210.94
  5. Step 5: Solve for x
    x = 2,732,610,210.94/57,775.41
  6. Step 6: Final answer
    x = 47,297.12

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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.