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Finding the Fourth Proportional to 266,102.88, 399,357.36 and 97,782.72

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Solution

The fourth proportional to 266,102.88, 399,357.36 and 97,782.72 is: 146,748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,102.88 : 399,357.36 = 97,782.72 : x
  2. Step 2: Convert to fraction form
    266,102.88/399,357.36 = 97,782.72/x
  3. Step 3: Cross multiply
    266,102.88x = 399,357.36 × 97,782.72
  4. Step 4: Simplify right side
    266,102.88x = 39,050,248,912.82
  5. Step 5: Solve for x
    x = 39,050,248,912.82/266,102.88
  6. Step 6: Final answer
    x = 146,748.69

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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.