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Finding the Fourth Proportional to 201,420.10, 302,227.35 and 142,128.10

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Solution

The fourth proportional to 201,420.10, 302,227.35 and 142,128.10 is: 213,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,420.10 : 302,227.35 = 142,128.10 : x
  2. Step 2: Convert to fraction form
    201,420.10/302,227.35 = 142,128.10/x
  3. Step 3: Cross multiply
    201,420.10x = 302,227.35 × 142,128.10
  4. Step 4: Simplify right side
    201,420.10x = 42,954,999,023.54
  5. Step 5: Solve for x
    x = 42,954,999,023.54/201,420.10
  6. Step 6: Final answer
    x = 213,260.74

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1.5x scale

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.