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Finding the Fourth Proportional to 129,649, 194,473.50 and 42,097

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Solution

The fourth proportional to 129,649, 194,473.50 and 42,097 is: 63,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,649 : 194,473.50 = 42,097 : x
  2. Step 2: Convert to fraction form
    129,649/194,473.50 = 42,097/x
  3. Step 3: Cross multiply
    129,649x = 194,473.50 × 42,097
  4. Step 4: Simplify right side
    129,649x = 8,186,750,929.50
  5. Step 5: Solve for x
    x = 8,186,750,929.50/129,649
  6. Step 6: Final answer
    x = 63,145.50

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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.