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Finding the Fourth Proportional to 159,394.14, 219,963.90 and 87,774

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Solution

The fourth proportional to 159,394.14, 219,963.90 and 87,774 is: 121,128.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,394.14 : 219,963.90 = 87,774 : x
  2. Step 2: Convert to fraction form
    159,394.14/219,963.90 = 87,774/x
  3. Step 3: Cross multiply
    159,394.14x = 219,963.90 × 87,774
  4. Step 4: Simplify right side
    159,394.14x = 19,307,111,358.60
  5. Step 5: Solve for x
    x = 19,307,111,358.60/159,394.14
  6. Step 6: Final answer
    x = 121,128.11

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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.