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Finding the Fourth Proportional to 266,046, 399,085.92 and 108,188.16

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Solution

The fourth proportional to 266,046, 399,085.92 and 108,188.16 is: 162,289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,046 : 399,085.92 = 108,188.16 : x
  2. Step 2: Convert to fraction form
    266,046/399,085.92 = 108,188.16/x
  3. Step 3: Cross multiply
    266,046x = 399,085.92 × 108,188.16
  4. Step 4: Simplify right side
    266,046x = 43,176,371,366.71
  5. Step 5: Solve for x
    x = 43,176,371,366.71/266,046
  6. Step 6: Final answer
    x = 162,289.12

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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.