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Finding the Fourth Proportional to 203,042, 280,325.06 and 130,474.28

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Solution

The fourth proportional to 203,042, 280,325.06 and 130,474.28 is: 180,136.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,042 : 280,325.06 = 130,474.28 : x
  2. Step 2: Convert to fraction form
    203,042/280,325.06 = 130,474.28/x
  3. Step 3: Cross multiply
    203,042x = 280,325.06 × 130,474.28
  4. Step 4: Simplify right side
    203,042x = 36,575,210,369.46
  5. Step 5: Solve for x
    x = 36,575,210,369.46/203,042
  6. Step 6: Final answer
    x = 180,136.18

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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.