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Finding the Fourth Proportional to 77,985.48, 116,978.25 and 21,833.87

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Solution

The fourth proportional to 77,985.48, 116,978.25 and 21,833.87 is: 32,750.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,985.48 : 116,978.25 = 21,833.87 : x
  2. Step 2: Convert to fraction form
    77,985.48/116,978.25 = 21,833.87/x
  3. Step 3: Cross multiply
    77,985.48x = 116,978.25 × 21,833.87
  4. Step 4: Simplify right side
    77,985.48x = 2,554,087,309.67
  5. Step 5: Solve for x
    x = 2,554,087,309.67/77,985.48
  6. Step 6: Final answer
    x = 32,750.80

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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.