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Finding the Fourth Proportional to 202,407.10, 303,610.65 and 142,045.90

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Solution

The fourth proportional to 202,407.10, 303,610.65 and 142,045.90 is: 213,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,407.10 : 303,610.65 = 142,045.90 : x
  2. Step 2: Convert to fraction form
    202,407.10/303,610.65 = 142,045.90/x
  3. Step 3: Cross multiply
    202,407.10x = 303,610.65 × 142,045.90
  4. Step 4: Simplify right side
    202,407.10x = 43,126,648,028.84
  5. Step 5: Solve for x
    x = 43,126,648,028.84/202,407.10
  6. Step 6: Final answer
    x = 213,068.85

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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.