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Finding the Fourth Proportional to 77,214.59, 115,742.56 and 43,863.46

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Solution

The fourth proportional to 77,214.59, 115,742.56 and 43,863.46 is: 65,750.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,214.59 : 115,742.56 = 43,863.46 : x
  2. Step 2: Convert to fraction form
    77,214.59/115,742.56 = 43,863.46/x
  3. Step 3: Cross multiply
    77,214.59x = 115,742.56 × 43,863.46
  4. Step 4: Simplify right side
    77,214.59x = 5,076,869,150.86
  5. Step 5: Solve for x
    x = 5,076,869,150.86/77,214.59
  6. Step 6: Final answer
    x = 65,750.13

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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.