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Finding the Fourth Proportional to 202,712, 279,751.20 and 113,288

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Solution

The fourth proportional to 202,712, 279,751.20 and 113,288 is: 156,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,712 : 279,751.20 = 113,288 : x
  2. Step 2: Convert to fraction form
    202,712/279,751.20 = 113,288/x
  3. Step 3: Cross multiply
    202,712x = 279,751.20 × 113,288
  4. Step 4: Simplify right side
    202,712x = 31,692,453,945.60
  5. Step 5: Solve for x
    x = 31,692,453,945.60/202,712
  6. Step 6: Final answer
    x = 156,342.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.