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Finding the Fourth Proportional to 78,134.75, 117,202.16 and 21,980.82

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Solution

The fourth proportional to 78,134.75, 117,202.16 and 21,980.82 is: 32,971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,134.75 : 117,202.16 = 21,980.82 : x
  2. Step 2: Convert to fraction form
    78,134.75/117,202.16 = 21,980.82/x
  3. Step 3: Cross multiply
    78,134.75x = 117,202.16 × 21,980.82
  4. Step 4: Simplify right side
    78,134.75x = 2,576,199,582.57
  5. Step 5: Solve for x
    x = 2,576,199,582.57/78,134.75
  6. Step 6: Final answer
    x = 32,971.24

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1.5x scale

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.