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Finding the Fourth Proportional to 266,502.30, 399,735.23 and 86,585.10

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Solution

The fourth proportional to 266,502.30, 399,735.23 and 86,585.10 is: 129,871.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,502.30 : 399,735.23 = 86,585.10 : x
  2. Step 2: Convert to fraction form
    266,502.30/399,735.23 = 86,585.10/x
  3. Step 3: Cross multiply
    266,502.30x = 399,735.23 × 86,585.10
  4. Step 4: Simplify right side
    266,502.30x = 34,611,114,430.15
  5. Step 5: Solve for x
    x = 34,611,114,430.15/266,502.30
  6. Step 6: Final answer
    x = 129,871.73

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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.