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Finding the Fourth Proportional to 243,122.70, 365,012.10 and 193,259.10

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Solution

The fourth proportional to 243,122.70, 365,012.10 and 193,259.10 is: 290,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,122.70 : 365,012.10 = 193,259.10 : x
  2. Step 2: Convert to fraction form
    243,122.70/365,012.10 = 193,259.10/x
  3. Step 3: Cross multiply
    243,122.70x = 365,012.10 × 193,259.10
  4. Step 4: Simplify right side
    243,122.70x = 70,541,909,935.11
  5. Step 5: Solve for x
    x = 70,541,909,935.11/243,122.70
  6. Step 6: Final answer
    x = 290,149.42

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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.