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Finding the Fourth Proportional to 194,030.66, 290,973.40 and 67,638.47

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Solution

The fourth proportional to 194,030.66, 290,973.40 and 67,638.47 is: 101,432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,030.66 : 290,973.40 = 67,638.47 : x
  2. Step 2: Convert to fraction form
    194,030.66/290,973.40 = 67,638.47/x
  3. Step 3: Cross multiply
    194,030.66x = 290,973.40 × 67,638.47
  4. Step 4: Simplify right side
    194,030.66x = 19,680,993,962.73
  5. Step 5: Solve for x
    x = 19,680,993,962.73/194,030.66
  6. Step 6: Final answer
    x = 101,432.39

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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.