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Finding the Fourth Proportional to 202,398.74, 279,193.18 and 130,778.76

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Solution

The fourth proportional to 202,398.74, 279,193.18 and 130,778.76 is: 180,399.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,398.74 : 279,193.18 = 130,778.76 : x
  2. Step 2: Convert to fraction form
    202,398.74/279,193.18 = 130,778.76/x
  3. Step 3: Cross multiply
    202,398.74x = 279,193.18 × 130,778.76
  4. Step 4: Simplify right side
    202,398.74x = 36,512,537,880.86
  5. Step 5: Solve for x
    x = 36,512,537,880.86/202,398.74
  6. Step 6: Final answer
    x = 180,399.04

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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.