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Finding the Fourth Proportional to 218,009.16, 300,934.86 and 127,394.60

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Solution

The fourth proportional to 218,009.16, 300,934.86 and 127,394.60 is: 175,852.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,009.16 : 300,934.86 = 127,394.60 : x
  2. Step 2: Convert to fraction form
    218,009.16/300,934.86 = 127,394.60/x
  3. Step 3: Cross multiply
    218,009.16x = 300,934.86 × 127,394.60
  4. Step 4: Simplify right side
    218,009.16x = 38,337,476,115.76
  5. Step 5: Solve for x
    x = 38,337,476,115.76/218,009.16
  6. Step 6: Final answer
    x = 175,852.59

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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.