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Finding the Fourth Proportional to 202,338.14, 303,509.10 and 89,987.90

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Solution

The fourth proportional to 202,338.14, 303,509.10 and 89,987.90 is: 134,982.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,338.14 : 303,509.10 = 89,987.90 : x
  2. Step 2: Convert to fraction form
    202,338.14/303,509.10 = 89,987.90/x
  3. Step 3: Cross multiply
    202,338.14x = 303,509.10 × 89,987.90
  4. Step 4: Simplify right side
    202,338.14x = 27,312,146,539.89
  5. Step 5: Solve for x
    x = 27,312,146,539.89/202,338.14
  6. Step 6: Final answer
    x = 134,982.69

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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.