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Finding the Fourth Proportional to 77,708.70, 116,563.05 and 76,412.70

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Solution

The fourth proportional to 77,708.70, 116,563.05 and 76,412.70 is: 114,619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,708.70 : 116,563.05 = 76,412.70 : x
  2. Step 2: Convert to fraction form
    77,708.70/116,563.05 = 76,412.70/x
  3. Step 3: Cross multiply
    77,708.70x = 116,563.05 × 76,412.70
  4. Step 4: Simplify right side
    77,708.70x = 8,906,897,370.74
  5. Step 5: Solve for x
    x = 8,906,897,370.74/77,708.70
  6. Step 6: Final answer
    x = 114,619.05

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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.