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Finding the Fourth Proportional to 77,289.66, 115,978.37 and 32,911.79

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Solution

The fourth proportional to 77,289.66, 115,978.37 and 32,911.79 is: 49,386.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,289.66 : 115,978.37 = 32,911.79 : x
  2. Step 2: Convert to fraction form
    77,289.66/115,978.37 = 32,911.79/x
  3. Step 3: Cross multiply
    77,289.66x = 115,978.37 × 32,911.79
  4. Step 4: Simplify right side
    77,289.66x = 3,817,055,013.53
  5. Step 5: Solve for x
    x = 3,817,055,013.53/77,289.66
  6. Step 6: Final answer
    x = 49,386.36

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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.