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Finding the Fourth Proportional to 77,443, 106,869.27 and 43,448.65

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Solution

The fourth proportional to 77,443, 106,869.27 and 43,448.65 is: 59,957.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,443 : 106,869.27 = 43,448.65 : x
  2. Step 2: Convert to fraction form
    77,443/106,869.27 = 43,448.65/x
  3. Step 3: Cross multiply
    77,443x = 106,869.27 × 43,448.65
  4. Step 4: Simplify right side
    77,443x = 4,643,325,507.99
  5. Step 5: Solve for x
    x = 4,643,325,507.99/77,443
  6. Step 6: Final answer
    x = 59,957.98

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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.