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Finding the Fourth Proportional to 143,330.84, 197,764.44 and 86,741

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Solution

The fourth proportional to 143,330.84, 197,764.44 and 86,741 is: 119,683.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,330.84 : 197,764.44 = 86,741 : x
  2. Step 2: Convert to fraction form
    143,330.84/197,764.44 = 86,741/x
  3. Step 3: Cross multiply
    143,330.84x = 197,764.44 × 86,741
  4. Step 4: Simplify right side
    143,330.84x = 17,154,285,290.04
  5. Step 5: Solve for x
    x = 17,154,285,290.04/143,330.84
  6. Step 6: Final answer
    x = 119,683.14

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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.