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Finding the Fourth Proportional to 77,559.76, 116,340 and 30,812.50

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Solution

The fourth proportional to 77,559.76, 116,340 and 30,812.50 is: 46,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,559.76 : 116,340 = 30,812.50 : x
  2. Step 2: Convert to fraction form
    77,559.76/116,340 = 30,812.50/x
  3. Step 3: Cross multiply
    77,559.76x = 116,340 × 30,812.50
  4. Step 4: Simplify right side
    77,559.76x = 3,584,726,250
  5. Step 5: Solve for x
    x = 3,584,726,250/77,559.76
  6. Step 6: Final answer
    x = 46,218.89

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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.