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Finding the Fourth Proportional to 77,303.68, 115,959.01 and 21,142.53

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Solution

The fourth proportional to 77,303.68, 115,959.01 and 21,142.53 is: 31,714.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,303.68 : 115,959.01 = 21,142.53 : x
  2. Step 2: Convert to fraction form
    77,303.68/115,959.01 = 21,142.53/x
  3. Step 3: Cross multiply
    77,303.68x = 115,959.01 × 21,142.53
  4. Step 4: Simplify right side
    77,303.68x = 2,451,667,190.45
  5. Step 5: Solve for x
    x = 2,451,667,190.45/77,303.68
  6. Step 6: Final answer
    x = 31,714.75

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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.