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Finding the Fourth Proportional to 109,509.44, 164,265.48 and 42,980.90

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Solution

The fourth proportional to 109,509.44, 164,265.48 and 42,980.90 is: 64,471.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,509.44 : 164,265.48 = 42,980.90 : x
  2. Step 2: Convert to fraction form
    109,509.44/164,265.48 = 42,980.90/x
  3. Step 3: Cross multiply
    109,509.44x = 164,265.48 × 42,980.90
  4. Step 4: Simplify right side
    109,509.44x = 7,060,278,580.00
  5. Step 5: Solve for x
    x = 7,060,278,580.00/109,509.44
  6. Step 6: Final answer
    x = 64,471.87

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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.