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Finding the Fourth Proportional to 78,079.32, 116,978.04 and 65,676.60

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Solution

The fourth proportional to 78,079.32, 116,978.04 and 65,676.60 is: 98,396.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,079.32 : 116,978.04 = 65,676.60 : x
  2. Step 2: Convert to fraction form
    78,079.32/116,978.04 = 65,676.60/x
  3. Step 3: Cross multiply
    78,079.32x = 116,978.04 × 65,676.60
  4. Step 4: Simplify right side
    78,079.32x = 7,682,719,941.86
  5. Step 5: Solve for x
    x = 7,682,719,941.86/78,079.32
  6. Step 6: Final answer
    x = 98,396.35

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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.