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Finding the Fourth Proportional to 151,753.68, 209,441.16 and 84,690

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Solution

The fourth proportional to 151,753.68, 209,441.16 and 84,690 is: 116,883.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,753.68 : 209,441.16 = 84,690 : x
  2. Step 2: Convert to fraction form
    151,753.68/209,441.16 = 84,690/x
  3. Step 3: Cross multiply
    151,753.68x = 209,441.16 × 84,690
  4. Step 4: Simplify right side
    151,753.68x = 17,737,571,840.40
  5. Step 5: Solve for x
    x = 17,737,571,840.40/151,753.68
  6. Step 6: Final answer
    x = 116,883.97

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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.