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Finding the Fourth Proportional to 266,378.21, 399,724.95 and 98,016.76

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Solution

The fourth proportional to 266,378.21, 399,724.95 and 98,016.76 is: 147,083.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,378.21 : 399,724.95 = 98,016.76 : x
  2. Step 2: Convert to fraction form
    266,378.21/399,724.95 = 98,016.76/x
  3. Step 3: Cross multiply
    266,378.21x = 399,724.95 × 98,016.76
  4. Step 4: Simplify right side
    266,378.21x = 39,179,744,490.16
  5. Step 5: Solve for x
    x = 39,179,744,490.16/266,378.21
  6. Step 6: Final answer
    x = 147,083.14

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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.