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Finding the Fourth Proportional to 140,122, 193,368.36 and 89,821

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Solution

The fourth proportional to 140,122, 193,368.36 and 89,821 is: 123,952.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,122 : 193,368.36 = 89,821 : x
  2. Step 2: Convert to fraction form
    140,122/193,368.36 = 89,821/x
  3. Step 3: Cross multiply
    140,122x = 193,368.36 × 89,821
  4. Step 4: Simplify right side
    140,122x = 17,368,539,463.56
  5. Step 5: Solve for x
    x = 17,368,539,463.56/140,122
  6. Step 6: Final answer
    x = 123,952.98

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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.