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Finding the Fourth Proportional to 253,151.69, 379,914.39 and 120,032.42

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Solution

The fourth proportional to 253,151.69, 379,914.39 and 120,032.42 is: 180,137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,151.69 : 379,914.39 = 120,032.42 : x
  2. Step 2: Convert to fraction form
    253,151.69/379,914.39 = 120,032.42/x
  3. Step 3: Cross multiply
    253,151.69x = 379,914.39 × 120,032.42
  4. Step 4: Simplify right side
    253,151.69x = 45,602,041,724.95
  5. Step 5: Solve for x
    x = 45,602,041,724.95/253,151.69
  6. Step 6: Final answer
    x = 180,137.22

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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.