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Finding the Fourth Proportional to 143,854.24, 215,843.61 and 77,216.56

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Solution

The fourth proportional to 143,854.24, 215,843.61 and 77,216.56 is: 115,858.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,854.24 : 215,843.61 = 77,216.56 : x
  2. Step 2: Convert to fraction form
    143,854.24/215,843.61 = 77,216.56/x
  3. Step 3: Cross multiply
    143,854.24x = 215,843.61 × 77,216.56
  4. Step 4: Simplify right side
    143,854.24x = 16,666,701,062.18
  5. Step 5: Solve for x
    x = 16,666,701,062.18/143,854.24
  6. Step 6: Final answer
    x = 115,858.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.