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Finding the Fourth Proportional to 103,117.20, 154,675.80 and 40,787.70

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Solution

The fourth proportional to 103,117.20, 154,675.80 and 40,787.70 is: 61,181.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,117.20 : 154,675.80 = 40,787.70 : x
  2. Step 2: Convert to fraction form
    103,117.20/154,675.80 = 40,787.70/x
  3. Step 3: Cross multiply
    103,117.20x = 154,675.80 × 40,787.70
  4. Step 4: Simplify right side
    103,117.20x = 6,308,870,127.66
  5. Step 5: Solve for x
    x = 6,308,870,127.66/103,117.20
  6. Step 6: Final answer
    x = 61,181.55

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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.