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Finding the Fourth Proportional to 219,784.34, 329,702.81 and 77,600.38

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Solution

The fourth proportional to 219,784.34, 329,702.81 and 77,600.38 is: 116,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,784.34 : 329,702.81 = 77,600.38 : x
  2. Step 2: Convert to fraction form
    219,784.34/329,702.81 = 77,600.38/x
  3. Step 3: Cross multiply
    219,784.34x = 329,702.81 × 77,600.38
  4. Step 4: Simplify right side
    219,784.34x = 25,585,062,749.00
  5. Step 5: Solve for x
    x = 25,585,062,749.00/219,784.34
  6. Step 6: Final answer
    x = 116,409.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.