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Finding the Fourth Proportional to 251,814.78, 377,722.14 and 85,602.78

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Solution

The fourth proportional to 251,814.78, 377,722.14 and 85,602.78 is: 128,404.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,814.78 : 377,722.14 = 85,602.78 : x
  2. Step 2: Convert to fraction form
    251,814.78/377,722.14 = 85,602.78/x
  3. Step 3: Cross multiply
    251,814.78x = 377,722.14 × 85,602.78
  4. Step 4: Simplify right side
    251,814.78x = 32,334,065,251.55
  5. Step 5: Solve for x
    x = 32,334,065,251.55/251,814.78
  6. Step 6: Final answer
    x = 128,404.16

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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.