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Finding the Fourth Proportional to 144,268, 216,399.12 and 65,367.52

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Solution

The fourth proportional to 144,268, 216,399.12 and 65,367.52 is: 98,049.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,268 : 216,399.12 = 65,367.52 : x
  2. Step 2: Convert to fraction form
    144,268/216,399.12 = 65,367.52/x
  3. Step 3: Cross multiply
    144,268x = 216,399.12 × 65,367.52
  4. Step 4: Simplify right side
    144,268x = 14,145,473,804.58
  5. Step 5: Solve for x
    x = 14,145,473,804.58/144,268
  6. Step 6: Final answer
    x = 98,049.98

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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.