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Finding the Fourth Proportional to 76,702.60, 114,990.99 and 34,570.05

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Solution

The fourth proportional to 76,702.60, 114,990.99 and 34,570.05 is: 51,826.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,702.60 : 114,990.99 = 34,570.05 : x
  2. Step 2: Convert to fraction form
    76,702.60/114,990.99 = 34,570.05/x
  3. Step 3: Cross multiply
    76,702.60x = 114,990.99 × 34,570.05
  4. Step 4: Simplify right side
    76,702.60x = 3,975,244,273.85
  5. Step 5: Solve for x
    x = 3,975,244,273.85/76,702.60
  6. Step 6: Final answer
    x = 51,826.72

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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.