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Finding the Fourth Proportional to 203,253.76, 280,621.82 and 130,689.25

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Solution

The fourth proportional to 203,253.76, 280,621.82 and 130,689.25 is: 180,435.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,253.76 : 280,621.82 = 130,689.25 : x
  2. Step 2: Convert to fraction form
    203,253.76/280,621.82 = 130,689.25/x
  3. Step 3: Cross multiply
    203,253.76x = 280,621.82 × 130,689.25
  4. Step 4: Simplify right side
    203,253.76x = 36,674,254,079.48
  5. Step 5: Solve for x
    x = 36,674,254,079.48/203,253.76
  6. Step 6: Final answer
    x = 180,435.80

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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.