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Finding the Fourth Proportional to 156,978.13, 235,465.17 and 38,650.50

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Solution

The fourth proportional to 156,978.13, 235,465.17 and 38,650.50 is: 57,975.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,978.13 : 235,465.17 = 38,650.50 : x
  2. Step 2: Convert to fraction form
    156,978.13/235,465.17 = 38,650.50/x
  3. Step 3: Cross multiply
    156,978.13x = 235,465.17 × 38,650.50
  4. Step 4: Simplify right side
    156,978.13x = 9,100,846,553.09
  5. Step 5: Solve for x
    x = 9,100,846,553.09/156,978.13
  6. Step 6: Final answer
    x = 57,975.25

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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.