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Finding the Fourth Proportional to 202,720.59, 304,130.43 and 142,865.91

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Solution

The fourth proportional to 202,720.59, 304,130.43 and 142,865.91 is: 214,333.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,720.59 : 304,130.43 = 142,865.91 : x
  2. Step 2: Convert to fraction form
    202,720.59/304,130.43 = 142,865.91/x
  3. Step 3: Cross multiply
    202,720.59x = 304,130.43 × 142,865.91
  4. Step 4: Simplify right side
    202,720.59x = 43,449,870,640.64
  5. Step 5: Solve for x
    x = 43,449,870,640.64/202,720.59
  6. Step 6: Final answer
    x = 214,333.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.