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Finding the Fourth Proportional to 218,021.64, 300,746.76 and 137,310.48

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Solution

The fourth proportional to 218,021.64, 300,746.76 and 137,310.48 is: 189,410.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,021.64 : 300,746.76 = 137,310.48 : x
  2. Step 2: Convert to fraction form
    218,021.64/300,746.76 = 137,310.48/x
  3. Step 3: Cross multiply
    218,021.64x = 300,746.76 × 137,310.48
  4. Step 4: Simplify right side
    218,021.64x = 41,295,681,974.04
  5. Step 5: Solve for x
    x = 41,295,681,974.04/218,021.64
  6. Step 6: Final answer
    x = 189,410.93

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1.5x scale

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.