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Finding the Fourth Proportional to 66,140.87, 91,280.04 and 37,465.64

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Solution

The fourth proportional to 66,140.87, 91,280.04 and 37,465.64 is: 51,705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,140.87 : 91,280.04 = 37,465.64 : x
  2. Step 2: Convert to fraction form
    66,140.87/91,280.04 = 37,465.64/x
  3. Step 3: Cross multiply
    66,140.87x = 91,280.04 × 37,465.64
  4. Step 4: Simplify right side
    66,140.87x = 3,419,865,117.83
  5. Step 5: Solve for x
    x = 3,419,865,117.83/66,140.87
  6. Step 6: Final answer
    x = 51,705.78

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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.