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Finding the Fourth Proportional to 77,642.64, 107,140.95 and 43,645.74

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Solution

The fourth proportional to 77,642.64, 107,140.95 and 43,645.74 is: 60,227.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,642.64 : 107,140.95 = 43,645.74 : x
  2. Step 2: Convert to fraction form
    77,642.64/107,140.95 = 43,645.74/x
  3. Step 3: Cross multiply
    77,642.64x = 107,140.95 × 43,645.74
  4. Step 4: Simplify right side
    77,642.64x = 4,676,246,047.05
  5. Step 5: Solve for x
    x = 4,676,246,047.05/77,642.64
  6. Step 6: Final answer
    x = 60,227.81

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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.