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Finding the Fourth Proportional to 266,069.88, 399,307.86 and 97,749.72

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Solution

The fourth proportional to 266,069.88, 399,307.86 and 97,749.72 is: 146,699.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,069.88 : 399,307.86 = 97,749.72 : x
  2. Step 2: Convert to fraction form
    266,069.88/399,307.86 = 97,749.72/x
  3. Step 3: Cross multiply
    266,069.88x = 399,307.86 × 97,749.72
  4. Step 4: Simplify right side
    266,069.88x = 39,032,231,508.80
  5. Step 5: Solve for x
    x = 39,032,231,508.80/266,069.88
  6. Step 6: Final answer
    x = 146,699.17

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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.