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Finding the Fourth Proportional to 143,458, 197,972.04 and 83,842

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Solution

The fourth proportional to 143,458, 197,972.04 and 83,842 is: 115,701.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,458 : 197,972.04 = 83,842 : x
  2. Step 2: Convert to fraction form
    143,458/197,972.04 = 83,842/x
  3. Step 3: Cross multiply
    143,458x = 197,972.04 × 83,842
  4. Step 4: Simplify right side
    143,458x = 16,598,371,777.68
  5. Step 5: Solve for x
    x = 16,598,371,777.68/143,458
  6. Step 6: Final answer
    x = 115,701.96

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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.