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Finding the Fourth Proportional to 76,866.64, 106,059.76 and 46,667.84

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Solution

The fourth proportional to 76,866.64, 106,059.76 and 46,667.84 is: 64,391.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,866.64 : 106,059.76 = 46,667.84 : x
  2. Step 2: Convert to fraction form
    76,866.64/106,059.76 = 46,667.84/x
  3. Step 3: Cross multiply
    76,866.64x = 106,059.76 × 46,667.84
  4. Step 4: Simplify right side
    76,866.64x = 4,949,579,910.12
  5. Step 5: Solve for x
    x = 4,949,579,910.12/76,866.64
  6. Step 6: Final answer
    x = 64,391.78

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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.