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Finding the Fourth Proportional to 77,263.47, 106,605.31 and 43,729.47

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Solution

The fourth proportional to 77,263.47, 106,605.31 and 43,729.47 is: 60,336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,263.47 : 106,605.31 = 43,729.47 : x
  2. Step 2: Convert to fraction form
    77,263.47/106,605.31 = 43,729.47/x
  3. Step 3: Cross multiply
    77,263.47x = 106,605.31 × 43,729.47
  4. Step 4: Simplify right side
    77,263.47x = 4,661,793,814.81
  5. Step 5: Solve for x
    x = 4,661,793,814.81/77,263.47
  6. Step 6: Final answer
    x = 60,336.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.