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Finding the Fourth Proportional to 130,978.70, 196,468.05 and 78,361.10

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Solution

The fourth proportional to 130,978.70, 196,468.05 and 78,361.10 is: 117,541.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,978.70 : 196,468.05 = 78,361.10 : x
  2. Step 2: Convert to fraction form
    130,978.70/196,468.05 = 78,361.10/x
  3. Step 3: Cross multiply
    130,978.70x = 196,468.05 × 78,361.10
  4. Step 4: Simplify right side
    130,978.70x = 15,395,452,512.86
  5. Step 5: Solve for x
    x = 15,395,452,512.86/130,978.70
  6. Step 6: Final answer
    x = 117,541.65

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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.