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Finding the Fourth Proportional to 81,869.76, 122,702.40 and 35,068.32

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Solution

The fourth proportional to 81,869.76, 122,702.40 and 35,068.32 is: 52,558.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,869.76 : 122,702.40 = 35,068.32 : x
  2. Step 2: Convert to fraction form
    81,869.76/122,702.40 = 35,068.32/x
  3. Step 3: Cross multiply
    81,869.76x = 122,702.40 × 35,068.32
  4. Step 4: Simplify right side
    81,869.76x = 4,302,967,027.97
  5. Step 5: Solve for x
    x = 4,302,967,027.97/81,869.76
  6. Step 6: Final answer
    x = 52,558.69

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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.