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Finding the Fourth Proportional to 202,399.36, 303,613.68 and 77,740.36

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Solution

The fourth proportional to 202,399.36, 303,613.68 and 77,740.36 is: 116,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,399.36 : 303,613.68 = 77,740.36 : x
  2. Step 2: Convert to fraction form
    202,399.36/303,613.68 = 77,740.36/x
  3. Step 3: Cross multiply
    202,399.36x = 303,613.68 × 77,740.36
  4. Step 4: Simplify right side
    202,399.36x = 23,603,036,784.12
  5. Step 5: Solve for x
    x = 23,603,036,784.12/202,399.36
  6. Step 6: Final answer
    x = 116,616.16

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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.