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Finding the Fourth Proportional to 77,871.07, 107,464.22 and 47,655.84

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Solution

The fourth proportional to 77,871.07, 107,464.22 and 47,655.84 is: 65,766.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,871.07 : 107,464.22 = 47,655.84 : x
  2. Step 2: Convert to fraction form
    77,871.07/107,464.22 = 47,655.84/x
  3. Step 3: Cross multiply
    77,871.07x = 107,464.22 × 47,655.84
  4. Step 4: Simplify right side
    77,871.07x = 5,121,298,017.47
  5. Step 5: Solve for x
    x = 5,121,298,017.47/77,871.07
  6. Step 6: Final answer
    x = 65,766.37

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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.