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Finding the Fourth Proportional to 253,877.76, 380,835.44 and 85,397.43

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Solution

The fourth proportional to 253,877.76, 380,835.44 and 85,397.43 is: 128,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,877.76 : 380,835.44 = 85,397.43 : x
  2. Step 2: Convert to fraction form
    253,877.76/380,835.44 = 85,397.43/x
  3. Step 3: Cross multiply
    253,877.76x = 380,835.44 × 85,397.43
  4. Step 4: Simplify right side
    253,877.76x = 32,522,367,401.93
  5. Step 5: Solve for x
    x = 32,522,367,401.93/253,877.76
  6. Step 6: Final answer
    x = 128,102.47

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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.