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Finding the Fourth Proportional to 96,420, 144,632.56 and 30,756

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Solution

The fourth proportional to 96,420, 144,632.56 and 30,756 is: 46,134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,420 : 144,632.56 = 30,756 : x
  2. Step 2: Convert to fraction form
    96,420/144,632.56 = 30,756/x
  3. Step 3: Cross multiply
    96,420x = 144,632.56 × 30,756
  4. Step 4: Simplify right side
    96,420x = 4,448,319,015.36
  5. Step 5: Solve for x
    x = 4,448,319,015.36/96,420
  6. Step 6: Final answer
    x = 46,134.82

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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.