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Finding the Fourth Proportional to 137,769.88, 190,122.36 and 77,340.64

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Solution

The fourth proportional to 137,769.88, 190,122.36 and 77,340.64 is: 106,730.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,769.88 : 190,122.36 = 77,340.64 : x
  2. Step 2: Convert to fraction form
    137,769.88/190,122.36 = 77,340.64/x
  3. Step 3: Cross multiply
    137,769.88x = 190,122.36 × 77,340.64
  4. Step 4: Simplify right side
    137,769.88x = 14,704,185,000.71
  5. Step 5: Solve for x
    x = 14,704,185,000.71/137,769.88
  6. Step 6: Final answer
    x = 106,730.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.