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Finding the Fourth Proportional to 159,201.40, 219,693.33 and 86,602

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Solution

The fourth proportional to 159,201.40, 219,693.33 and 86,602 is: 119,508.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,201.40 : 219,693.33 = 86,602 : x
  2. Step 2: Convert to fraction form
    159,201.40/219,693.33 = 86,602/x
  3. Step 3: Cross multiply
    159,201.40x = 219,693.33 × 86,602
  4. Step 4: Simplify right side
    159,201.40x = 19,025,881,764.66
  5. Step 5: Solve for x
    x = 19,025,881,764.66/159,201.40
  6. Step 6: Final answer
    x = 119,508.26

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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.