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Finding the Fourth Proportional to 201,642.13, 302,649.90 and 101,872.54

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Solution

The fourth proportional to 201,642.13, 302,649.90 and 101,872.54 is: 152,903.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,642.13 : 302,649.90 = 101,872.54 : x
  2. Step 2: Convert to fraction form
    201,642.13/302,649.90 = 101,872.54/x
  3. Step 3: Cross multiply
    201,642.13x = 302,649.90 × 101,872.54
  4. Step 4: Simplify right side
    201,642.13x = 30,831,714,043.75
  5. Step 5: Solve for x
    x = 30,831,714,043.75/201,642.13
  6. Step 6: Final answer
    x = 152,903.14

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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.