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Finding the Fourth Proportional to 92,649.89, 138,866.40 and 82,140.01

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Solution

The fourth proportional to 92,649.89, 138,866.40 and 82,140.01 is: 123,113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,649.89 : 138,866.40 = 82,140.01 : x
  2. Step 2: Convert to fraction form
    92,649.89/138,866.40 = 82,140.01/x
  3. Step 3: Cross multiply
    92,649.89x = 138,866.40 × 82,140.01
  4. Step 4: Simplify right side
    92,649.89x = 11,406,487,137.50
  5. Step 5: Solve for x
    x = 11,406,487,137.50/92,649.89
  6. Step 6: Final answer
    x = 123,113.87

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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.