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Finding the Fourth Proportional to 144,561.14, 216,934.24 and 78,047.64

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Solution

The fourth proportional to 144,561.14, 216,934.24 and 78,047.64 is: 117,121.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,561.14 : 216,934.24 = 78,047.64 : x
  2. Step 2: Convert to fraction form
    144,561.14/216,934.24 = 78,047.64/x
  3. Step 3: Cross multiply
    144,561.14x = 216,934.24 × 78,047.64
  4. Step 4: Simplify right side
    144,561.14x = 16,931,205,467.19
  5. Step 5: Solve for x
    x = 16,931,205,467.19/144,561.14
  6. Step 6: Final answer
    x = 117,121.42

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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.