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Finding the Fourth Proportional to 66,640.40, 99,977.00 and 46,957.40

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Solution

The fourth proportional to 66,640.40, 99,977.00 and 46,957.40 is: 70,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,640.40 : 99,977.00 = 46,957.40 : x
  2. Step 2: Convert to fraction form
    66,640.40/99,977.00 = 46,957.40/x
  3. Step 3: Cross multiply
    66,640.40x = 99,977.00 × 46,957.40
  4. Step 4: Simplify right side
    66,640.40x = 4,694,659,597.31
  5. Step 5: Solve for x
    x = 4,694,659,597.31/66,640.40
  6. Step 6: Final answer
    x = 70,447.66

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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.