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Finding the Fourth Proportional to 76,705.20, 115,057.80 and 24,114.60

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Solution

The fourth proportional to 76,705.20, 115,057.80 and 24,114.60 is: 36,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,705.20 : 115,057.80 = 24,114.60 : x
  2. Step 2: Convert to fraction form
    76,705.20/115,057.80 = 24,114.60/x
  3. Step 3: Cross multiply
    76,705.20x = 115,057.80 × 24,114.60
  4. Step 4: Simplify right side
    76,705.20x = 2,774,572,823.88
  5. Step 5: Solve for x
    x = 2,774,572,823.88/76,705.20
  6. Step 6: Final answer
    x = 36,171.90

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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.