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Finding the Fourth Proportional to 137,326.76, 205,990.80 and 48,580.34

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Solution

The fourth proportional to 137,326.76, 205,990.80 and 48,580.34 is: 72,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,326.76 : 205,990.80 = 48,580.34 : x
  2. Step 2: Convert to fraction form
    137,326.76/205,990.80 = 48,580.34/x
  3. Step 3: Cross multiply
    137,326.76x = 205,990.80 × 48,580.34
  4. Step 4: Simplify right side
    137,326.76x = 10,007,103,100.87
  5. Step 5: Solve for x
    x = 10,007,103,100.87/137,326.76
  6. Step 6: Final answer
    x = 72,870.74

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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.