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Finding the Fourth Proportional to 202,802.81, 303,760.80 and 102,791.30

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Solution

The fourth proportional to 202,802.81, 303,760.80 and 102,791.30 is: 153,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,802.81 : 303,760.80 = 102,791.30 : x
  2. Step 2: Convert to fraction form
    202,802.81/303,760.80 = 102,791.30/x
  3. Step 3: Cross multiply
    202,802.81x = 303,760.80 × 102,791.30
  4. Step 4: Simplify right side
    202,802.81x = 31,223,966,002.24
  5. Step 5: Solve for x
    x = 31,223,966,002.24/202,802.81
  6. Step 6: Final answer
    x = 153,962.20

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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.