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Finding the Fourth Proportional to 77,213.59, 115,741.06 and 43,862.46

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Solution

The fourth proportional to 77,213.59, 115,741.06 and 43,862.46 is: 65,748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,213.59 : 115,741.06 = 43,862.46 : x
  2. Step 2: Convert to fraction form
    77,213.59/115,741.06 = 43,862.46/x
  3. Step 3: Cross multiply
    77,213.59x = 115,741.06 × 43,862.46
  4. Step 4: Simplify right side
    77,213.59x = 5,076,687,614.61
  5. Step 5: Solve for x
    x = 5,076,687,614.61/77,213.59
  6. Step 6: Final answer
    x = 65,748.63

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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.