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Finding the Fourth Proportional to 77,255.94, 115,865.72 and 43,536.66

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Solution

The fourth proportional to 77,255.94, 115,865.72 and 43,536.66 is: 65,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,255.94 : 115,865.72 = 43,536.66 : x
  2. Step 2: Convert to fraction form
    77,255.94/115,865.72 = 43,536.66/x
  3. Step 3: Cross multiply
    77,255.94x = 115,865.72 × 43,536.66
  4. Step 4: Simplify right side
    77,255.94x = 5,044,406,239.61
  5. Step 5: Solve for x
    x = 5,044,406,239.61/77,255.94
  6. Step 6: Final answer
    x = 65,294.74

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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.