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Finding the Fourth Proportional to 129,643, 194,464.50 and 42,091

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Solution

The fourth proportional to 129,643, 194,464.50 and 42,091 is: 63,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,643 : 194,464.50 = 42,091 : x
  2. Step 2: Convert to fraction form
    129,643/194,464.50 = 42,091/x
  3. Step 3: Cross multiply
    129,643x = 194,464.50 × 42,091
  4. Step 4: Simplify right side
    129,643x = 8,185,205,269.50
  5. Step 5: Solve for x
    x = 8,185,205,269.50/129,643
  6. Step 6: Final answer
    x = 63,136.50

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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.