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Finding the Fourth Proportional to 143,663.76, 198,243.24 and 83,215.08

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Solution

The fourth proportional to 143,663.76, 198,243.24 and 83,215.08 is: 114,829.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,663.76 : 198,243.24 = 83,215.08 : x
  2. Step 2: Convert to fraction form
    143,663.76/198,243.24 = 83,215.08/x
  3. Step 3: Cross multiply
    143,663.76x = 198,243.24 × 83,215.08
  4. Step 4: Simplify right side
    143,663.76x = 16,496,827,076.06
  5. Step 5: Solve for x
    x = 16,496,827,076.06/143,663.76
  6. Step 6: Final answer
    x = 114,829.43

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1.5x scale

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.