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Finding the Fourth Proportional to 137,009.80, 205,466.10 and 48,266.20

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Solution

The fourth proportional to 137,009.80, 205,466.10 and 48,266.20 is: 72,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,009.80 : 205,466.10 = 48,266.20 : x
  2. Step 2: Convert to fraction form
    137,009.80/205,466.10 = 48,266.20/x
  3. Step 3: Cross multiply
    137,009.80x = 205,466.10 × 48,266.20
  4. Step 4: Simplify right side
    137,009.80x = 9,917,067,875.82
  5. Step 5: Solve for x
    x = 9,917,067,875.82/137,009.80
  6. Step 6: Final answer
    x = 72,382.18

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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.