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Finding the Fourth Proportional to 270,752.72, 406,501.77 and 137,723

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Solution

The fourth proportional to 270,752.72, 406,501.77 and 137,723 is: 206,774.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,752.72 : 406,501.77 = 137,723 : x
  2. Step 2: Convert to fraction form
    270,752.72/406,501.77 = 137,723/x
  3. Step 3: Cross multiply
    270,752.72x = 406,501.77 × 137,723
  4. Step 4: Simplify right side
    270,752.72x = 55,984,643,269.71
  5. Step 5: Solve for x
    x = 55,984,643,269.71/270,752.72
  6. Step 6: Final answer
    x = 206,774.08

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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.