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Finding the Fourth Proportional to 218,122.80, 300,881.16 and 137,407.92

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Solution

The fourth proportional to 218,122.80, 300,881.16 and 137,407.92 is: 189,542.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,122.80 : 300,881.16 = 137,407.92 : x
  2. Step 2: Convert to fraction form
    218,122.80/300,881.16 = 137,407.92/x
  3. Step 3: Cross multiply
    218,122.80x = 300,881.16 × 137,407.92
  4. Step 4: Simplify right side
    218,122.80x = 41,343,454,362.79
  5. Step 5: Solve for x
    x = 41,343,454,362.79/218,122.80
  6. Step 6: Final answer
    x = 189,542.10

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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.