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Finding the Fourth Proportional to 144,112, 216,017.32 and 49,310.36

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Solution

The fourth proportional to 144,112, 216,017.32 and 49,310.36 is: 73,913.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,112 : 216,017.32 = 49,310.36 : x
  2. Step 2: Convert to fraction form
    144,112/216,017.32 = 49,310.36/x
  3. Step 3: Cross multiply
    144,112x = 216,017.32 × 49,310.36
  4. Step 4: Simplify right side
    144,112x = 10,651,891,815.44
  5. Step 5: Solve for x
    x = 10,651,891,815.44/144,112
  6. Step 6: Final answer
    x = 73,913.98

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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.