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Finding the Fourth Proportional to 243,136.28, 365,345.86 and 130,899.48

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Solution

The fourth proportional to 243,136.28, 365,345.86 and 130,899.48 is: 196,694.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,136.28 : 365,345.86 = 130,899.48 : x
  2. Step 2: Convert to fraction form
    243,136.28/365,345.86 = 130,899.48/x
  3. Step 3: Cross multiply
    243,136.28x = 365,345.86 × 130,899.48
  4. Step 4: Simplify right side
    243,136.28x = 47,823,583,094.15
  5. Step 5: Solve for x
    x = 47,823,583,094.15/243,136.28
  6. Step 6: Final answer
    x = 196,694.56

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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.