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Finding the Fourth Proportional to 66,617.46, 99,975.47 and 31,557.20

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Solution

The fourth proportional to 66,617.46, 99,975.47 and 31,557.20 is: 47,359.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,617.46 : 99,975.47 = 31,557.20 : x
  2. Step 2: Convert to fraction form
    66,617.46/99,975.47 = 31,557.20/x
  3. Step 3: Cross multiply
    66,617.46x = 99,975.47 × 31,557.20
  4. Step 4: Simplify right side
    66,617.46x = 3,154,945,244.22
  5. Step 5: Solve for x
    x = 3,154,945,244.22/66,617.46
  6. Step 6: Final answer
    x = 47,359.13

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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.