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Finding the Fourth Proportional to 77,052, 106,331.76 and 43,518

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Solution

The fourth proportional to 77,052, 106,331.76 and 43,518 is: 60,054.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,052 : 106,331.76 = 43,518 : x
  2. Step 2: Convert to fraction form
    77,052/106,331.76 = 43,518/x
  3. Step 3: Cross multiply
    77,052x = 106,331.76 × 43,518
  4. Step 4: Simplify right side
    77,052x = 4,627,345,531.68
  5. Step 5: Solve for x
    x = 4,627,345,531.68/77,052
  6. Step 6: Final answer
    x = 60,054.84

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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.