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Finding the Fourth Proportional to 66,711.02, 100,066.52 and 31,631.54

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Solution

The fourth proportional to 66,711.02, 100,066.52 and 31,631.54 is: 47,447.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,711.02 : 100,066.52 = 31,631.54 : x
  2. Step 2: Convert to fraction form
    66,711.02/100,066.52 = 31,631.54/x
  3. Step 3: Cross multiply
    66,711.02x = 100,066.52 × 31,631.54
  4. Step 4: Simplify right side
    66,711.02x = 3,165,258,130.04
  5. Step 5: Solve for x
    x = 3,165,258,130.04/66,711.02
  6. Step 6: Final answer
    x = 47,447.31

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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.