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Finding the Fourth Proportional to 83,783.01, 125,599.80 and 31,156.50

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Solution

The fourth proportional to 83,783.01, 125,599.80 and 31,156.50 is: 46,706.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,783.01 : 125,599.80 = 31,156.50 : x
  2. Step 2: Convert to fraction form
    83,783.01/125,599.80 = 31,156.50/x
  3. Step 3: Cross multiply
    83,783.01x = 125,599.80 × 31,156.50
  4. Step 4: Simplify right side
    83,783.01x = 3,913,250,168.70
  5. Step 5: Solve for x
    x = 3,913,250,168.70/83,783.01
  6. Step 6: Final answer
    x = 46,706.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.