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Finding the Fourth Proportional to 218,061.74, 300,881.09 and 127,400.19

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Solution

The fourth proportional to 218,061.74, 300,881.09 and 127,400.19 is: 175,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,061.74 : 300,881.09 = 127,400.19 : x
  2. Step 2: Convert to fraction form
    218,061.74/300,881.09 = 127,400.19/x
  3. Step 3: Cross multiply
    218,061.74x = 300,881.09 × 127,400.19
  4. Step 4: Simplify right side
    218,061.74x = 38,332,307,396.41
  5. Step 5: Solve for x
    x = 38,332,307,396.41/218,061.74
  6. Step 6: Final answer
    x = 175,786.49

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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.