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Finding the Fourth Proportional to 76,878.87, 106,091.01 and 42,890.64

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Solution

The fourth proportional to 76,878.87, 106,091.01 and 42,890.64 is: 59,188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,878.87 : 106,091.01 = 42,890.64 : x
  2. Step 2: Convert to fraction form
    76,878.87/106,091.01 = 42,890.64/x
  3. Step 3: Cross multiply
    76,878.87x = 106,091.01 × 42,890.64
  4. Step 4: Simplify right side
    76,878.87x = 4,550,311,317.15
  5. Step 5: Solve for x
    x = 4,550,311,317.15/76,878.87
  6. Step 6: Final answer
    x = 59,188.06

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1.5x scale

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.