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Finding the Fourth Proportional to 77,854.81, 107,441.79 and 47,639.59

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Solution

The fourth proportional to 77,854.81, 107,441.79 and 47,639.59 is: 65,743.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,854.81 : 107,441.79 = 47,639.59 : x
  2. Step 2: Convert to fraction form
    77,854.81/107,441.79 = 47,639.59/x
  3. Step 3: Cross multiply
    77,854.81x = 107,441.79 × 47,639.59
  4. Step 4: Simplify right side
    77,854.81x = 5,118,482,824.47
  5. Step 5: Solve for x
    x = 5,118,482,824.47/77,854.81
  6. Step 6: Final answer
    x = 65,743.95

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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.