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Finding the Fourth Proportional to 78,345.60, 117,345.60 and 67,977.60

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Solution

The fourth proportional to 78,345.60, 117,345.60 and 67,977.60 is: 101,816.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,345.60 : 117,345.60 = 67,977.60 : x
  2. Step 2: Convert to fraction form
    78,345.60/117,345.60 = 67,977.60/x
  3. Step 3: Cross multiply
    78,345.60x = 117,345.60 × 67,977.60
  4. Step 4: Simplify right side
    78,345.60x = 7,976,872,258.56
  5. Step 5: Solve for x
    x = 7,976,872,258.56/78,345.60
  6. Step 6: Final answer
    x = 101,816.47

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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.