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Finding the Fourth Proportional to 266,518.25, 399,934.87 and 98,156.91

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Solution

The fourth proportional to 266,518.25, 399,934.87 and 98,156.91 is: 147,293.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,518.25 : 399,934.87 = 98,156.91 : x
  2. Step 2: Convert to fraction form
    266,518.25/399,934.87 = 98,156.91/x
  3. Step 3: Cross multiply
    266,518.25x = 399,934.87 × 98,156.91
  4. Step 4: Simplify right side
    266,518.25x = 39,256,372,294.82
  5. Step 5: Solve for x
    x = 39,256,372,294.82/266,518.25
  6. Step 6: Final answer
    x = 147,293.37

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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.