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Finding the Fourth Proportional to 137,751.80, 206,579.10 and 49,008.20

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Solution

The fourth proportional to 137,751.80, 206,579.10 and 49,008.20 is: 73,495.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,751.80 : 206,579.10 = 49,008.20 : x
  2. Step 2: Convert to fraction form
    137,751.80/206,579.10 = 49,008.20/x
  3. Step 3: Cross multiply
    137,751.80x = 206,579.10 × 49,008.20
  4. Step 4: Simplify right side
    137,751.80x = 10,124,069,848.62
  5. Step 5: Solve for x
    x = 10,124,069,848.62/137,751.80
  6. Step 6: Final answer
    x = 73,495.01

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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.