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Finding the Fourth Proportional to 109,880.64, 164,709.80 and 43,294.88

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Solution

The fourth proportional to 109,880.64, 164,709.80 and 43,294.88 is: 64,898.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,880.64 : 164,709.80 = 43,294.88 : x
  2. Step 2: Convert to fraction form
    109,880.64/164,709.80 = 43,294.88/x
  3. Step 3: Cross multiply
    109,880.64x = 164,709.80 × 43,294.88
  4. Step 4: Simplify right side
    109,880.64x = 7,131,091,025.82
  5. Step 5: Solve for x
    x = 7,131,091,025.82/109,880.64
  6. Step 6: Final answer
    x = 64,898.52

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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.