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Finding the Fourth Proportional to 89,835.71, 123,978.94 and 51,607.22

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Solution

The fourth proportional to 89,835.71, 123,978.94 and 51,607.22 is: 71,221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,835.71 : 123,978.94 = 51,607.22 : x
  2. Step 2: Convert to fraction form
    89,835.71/123,978.94 = 51,607.22/x
  3. Step 3: Cross multiply
    89,835.71x = 123,978.94 × 51,607.22
  4. Step 4: Simplify right side
    89,835.71x = 6,398,207,683.03
  5. Step 5: Solve for x
    x = 6,398,207,683.03/89,835.71
  6. Step 6: Final answer
    x = 71,221.21

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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.