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Finding the Fourth Proportional to 99,920.31, 150,071.22 and 57,884.82

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Solution

The fourth proportional to 99,920.31, 150,071.22 and 57,884.82 is: 86,937.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,920.31 : 150,071.22 = 57,884.82 : x
  2. Step 2: Convert to fraction form
    99,920.31/150,071.22 = 57,884.82/x
  3. Step 3: Cross multiply
    99,920.31x = 150,071.22 × 57,884.82
  4. Step 4: Simplify right side
    99,920.31x = 8,686,845,556.88
  5. Step 5: Solve for x
    x = 8,686,845,556.88/99,920.31
  6. Step 6: Final answer
    x = 86,937.74

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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.