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Finding the Fourth Proportional to 266,655.86, 399,983.80 and 106,804.38

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Solution

The fourth proportional to 266,655.86, 399,983.80 and 106,804.38 is: 160,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,655.86 : 399,983.80 = 106,804.38 : x
  2. Step 2: Convert to fraction form
    266,655.86/399,983.80 = 106,804.38/x
  3. Step 3: Cross multiply
    266,655.86x = 399,983.80 × 106,804.38
  4. Step 4: Simplify right side
    266,655.86x = 42,720,021,769.04
  5. Step 5: Solve for x
    x = 42,720,021,769.04/266,655.86
  6. Step 6: Final answer
    x = 160,206.57

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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.