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Finding the Fourth Proportional to 76,886.50, 106,078.66 and 60,702.70

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Solution

The fourth proportional to 76,886.50, 106,078.66 and 60,702.70 is: 83,750.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,886.50 : 106,078.66 = 60,702.70 : x
  2. Step 2: Convert to fraction form
    76,886.50/106,078.66 = 60,702.70/x
  3. Step 3: Cross multiply
    76,886.50x = 106,078.66 × 60,702.70
  4. Step 4: Simplify right side
    76,886.50x = 6,439,261,074.38
  5. Step 5: Solve for x
    x = 6,439,261,074.38/76,886.50
  6. Step 6: Final answer
    x = 83,750.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.