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Finding the Fourth Proportional to 202,288.16, 303,519.72 and 77,600

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Solution

The fourth proportional to 202,288.16, 303,519.72 and 77,600 is: 116,433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,288.16 : 303,519.72 = 77,600 : x
  2. Step 2: Convert to fraction form
    202,288.16/303,519.72 = 77,600/x
  3. Step 3: Cross multiply
    202,288.16x = 303,519.72 × 77,600
  4. Step 4: Simplify right side
    202,288.16x = 23,553,130,272.00
  5. Step 5: Solve for x
    x = 23,553,130,272.00/202,288.16
  6. Step 6: Final answer
    x = 116,433.56

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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.