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Finding the Fourth Proportional to 76,847.79, 106,049.75 and 42,856.32

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Solution

The fourth proportional to 76,847.79, 106,049.75 and 42,856.32 is: 59,141.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,847.79 : 106,049.75 = 42,856.32 : x
  2. Step 2: Convert to fraction form
    76,847.79/106,049.75 = 42,856.32/x
  3. Step 3: Cross multiply
    76,847.79x = 106,049.75 × 42,856.32
  4. Step 4: Simplify right side
    76,847.79x = 4,544,901,409.95
  5. Step 5: Solve for x
    x = 4,544,901,409.95/76,847.79
  6. Step 6: Final answer
    x = 59,141.60

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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.