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Finding the Fourth Proportional to 77,561.76, 116,343 and 30,814.50

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Solution

The fourth proportional to 77,561.76, 116,343 and 30,814.50 is: 46,221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,561.76 : 116,343 = 30,814.50 : x
  2. Step 2: Convert to fraction form
    77,561.76/116,343 = 30,814.50/x
  3. Step 3: Cross multiply
    77,561.76x = 116,343 × 30,814.50
  4. Step 4: Simplify right side
    77,561.76x = 3,585,051,373.50
  5. Step 5: Solve for x
    x = 3,585,051,373.50/77,561.76
  6. Step 6: Final answer
    x = 46,221.89

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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.