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Finding the Fourth Proportional to 243,133.28, 365,341.36 and 130,896.48

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Solution

The fourth proportional to 243,133.28, 365,341.36 and 130,896.48 is: 196,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,133.28 : 365,341.36 = 130,896.48 : x
  2. Step 2: Convert to fraction form
    243,133.28/365,341.36 = 130,896.48/x
  3. Step 3: Cross multiply
    243,133.28x = 365,341.36 × 130,896.48
  4. Step 4: Simplify right side
    243,133.28x = 47,821,898,022.41
  5. Step 5: Solve for x
    x = 47,821,898,022.41/243,133.28
  6. Step 6: Final answer
    x = 196,690.05

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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.