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Finding the Fourth Proportional to 109,718.64, 151,410.60 and 61,971.84

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Solution

The fourth proportional to 109,718.64, 151,410.60 and 61,971.84 is: 85,520.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,718.64 : 151,410.60 = 61,971.84 : x
  2. Step 2: Convert to fraction form
    109,718.64/151,410.60 = 61,971.84/x
  3. Step 3: Cross multiply
    109,718.64x = 151,410.60 × 61,971.84
  4. Step 4: Simplify right side
    109,718.64x = 9,383,193,477.50
  5. Step 5: Solve for x
    x = 9,383,193,477.50/109,718.64
  6. Step 6: Final answer
    x = 85,520.50

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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.