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Finding the Fourth Proportional to 77,321.57, 115,964.26 and 43,602.14

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Solution

The fourth proportional to 77,321.57, 115,964.26 and 43,602.14 is: 65,393.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,321.57 : 115,964.26 = 43,602.14 : x
  2. Step 2: Convert to fraction form
    77,321.57/115,964.26 = 43,602.14/x
  3. Step 3: Cross multiply
    77,321.57x = 115,964.26 × 43,602.14
  4. Step 4: Simplify right side
    77,321.57x = 5,056,290,080.42
  5. Step 5: Solve for x
    x = 5,056,290,080.42/77,321.57
  6. Step 6: Final answer
    x = 65,393.01

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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.