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Finding the Fourth Proportional to 143,972, 198,681.54 and 80,313.86

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Solution

The fourth proportional to 143,972, 198,681.54 and 80,313.86 is: 110,833.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,972 : 198,681.54 = 80,313.86 : x
  2. Step 2: Convert to fraction form
    143,972/198,681.54 = 80,313.86/x
  3. Step 3: Cross multiply
    143,972x = 198,681.54 × 80,313.86
  4. Step 4: Simplify right side
    143,972x = 15,956,881,388.14
  5. Step 5: Solve for x
    x = 15,956,881,388.14/143,972
  6. Step 6: Final answer
    x = 110,833.23

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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.