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Finding the Fourth Proportional to 91,978.20, 137,967.30 and 77,106.60

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Solution

The fourth proportional to 91,978.20, 137,967.30 and 77,106.60 is: 115,659.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,978.20 : 137,967.30 = 77,106.60 : x
  2. Step 2: Convert to fraction form
    91,978.20/137,967.30 = 77,106.60/x
  3. Step 3: Cross multiply
    91,978.20x = 137,967.30 × 77,106.60
  4. Step 4: Simplify right side
    91,978.20x = 10,638,189,414.18
  5. Step 5: Solve for x
    x = 10,638,189,414.18/91,978.20
  6. Step 6: Final answer
    x = 115,659.90

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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.