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Finding the Fourth Proportional to 144,286.30, 216,326.98 and 103,783.87

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Solution

The fourth proportional to 144,286.30, 216,326.98 and 103,783.87 is: 155,602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,286.30 : 216,326.98 = 103,783.87 : x
  2. Step 2: Convert to fraction form
    144,286.30/216,326.98 = 103,783.87/x
  3. Step 3: Cross multiply
    144,286.30x = 216,326.98 × 103,783.87
  4. Step 4: Simplify right side
    144,286.30x = 22,451,251,169.81
  5. Step 5: Solve for x
    x = 22,451,251,169.81/144,286.30
  6. Step 6: Final answer
    x = 155,602.10

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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.