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Finding the Fourth Proportional to 109,437.84, 164,036.48 and 42,865.56

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Solution

The fourth proportional to 109,437.84, 164,036.48 and 42,865.56 is: 64,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,437.84 : 164,036.48 = 42,865.56 : x
  2. Step 2: Convert to fraction form
    109,437.84/164,036.48 = 42,865.56/x
  3. Step 3: Cross multiply
    109,437.84x = 164,036.48 × 42,865.56
  4. Step 4: Simplify right side
    109,437.84x = 7,031,515,361.30
  5. Step 5: Solve for x
    x = 7,031,515,361.30/109,437.84
  6. Step 6: Final answer
    x = 64,251.23

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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.