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Finding the Fourth Proportional to 251,865.36, 377,929.08 and 111,591

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Solution

The fourth proportional to 251,865.36, 377,929.08 and 111,591 is: 167,444.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,865.36 : 377,929.08 = 111,591 : x
  2. Step 2: Convert to fraction form
    251,865.36/377,929.08 = 111,591/x
  3. Step 3: Cross multiply
    251,865.36x = 377,929.08 × 111,591
  4. Step 4: Simplify right side
    251,865.36x = 42,173,483,966.28
  5. Step 5: Solve for x
    x = 42,173,483,966.28/251,865.36
  6. Step 6: Final answer
    x = 167,444.56

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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.