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Finding the Fourth Proportional to 81,700.70, 122,551.05 and 46,643.90

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Solution

The fourth proportional to 81,700.70, 122,551.05 and 46,643.90 is: 69,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,700.70 : 122,551.05 = 46,643.90 : x
  2. Step 2: Convert to fraction form
    81,700.70/122,551.05 = 46,643.90/x
  3. Step 3: Cross multiply
    81,700.70x = 122,551.05 × 46,643.90
  4. Step 4: Simplify right side
    81,700.70x = 5,716,258,921.10
  5. Step 5: Solve for x
    x = 5,716,258,921.10/81,700.70
  6. Step 6: Final answer
    x = 69,965.85

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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.