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Finding the Fourth Proportional to 235,400.82, 324,859.50 and 127,978.08

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Solution

The fourth proportional to 235,400.82, 324,859.50 and 127,978.08 is: 176,613.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,400.82 : 324,859.50 = 127,978.08 : x
  2. Step 2: Convert to fraction form
    235,400.82/324,859.50 = 127,978.08/x
  3. Step 3: Cross multiply
    235,400.82x = 324,859.50 × 127,978.08
  4. Step 4: Simplify right side
    235,400.82x = 41,574,895,079.76
  5. Step 5: Solve for x
    x = 41,574,895,079.76/235,400.82
  6. Step 6: Final answer
    x = 176,613.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.