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Finding the Fourth Proportional to 76,742.22, 115,129.80 and 43,478.22

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Solution

The fourth proportional to 76,742.22, 115,129.80 and 43,478.22 is: 65,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,742.22 : 115,129.80 = 43,478.22 : x
  2. Step 2: Convert to fraction form
    76,742.22/115,129.80 = 43,478.22/x
  3. Step 3: Cross multiply
    76,742.22x = 115,129.80 × 43,478.22
  4. Step 4: Simplify right side
    76,742.22x = 5,005,638,772.96
  5. Step 5: Solve for x
    x = 5,005,638,772.96/76,742.22
  6. Step 6: Final answer
    x = 65,226.66

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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.