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Finding the Fourth Proportional to 201,699.10, 302,645.85 and 142,407.10

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Solution

The fourth proportional to 201,699.10, 302,645.85 and 142,407.10 is: 213,679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,699.10 : 302,645.85 = 142,407.10 : x
  2. Step 2: Convert to fraction form
    201,699.10/302,645.85 = 142,407.10/x
  3. Step 3: Cross multiply
    201,699.10x = 302,645.85 × 142,407.10
  4. Step 4: Simplify right side
    201,699.10x = 43,098,917,825.54
  5. Step 5: Solve for x
    x = 43,098,917,825.54/201,699.10
  6. Step 6: Final answer
    x = 213,679.28

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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.