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Finding the Fourth Proportional to 66,872, 92,283.36 and 37,064

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Solution

The fourth proportional to 66,872, 92,283.36 and 37,064 is: 51,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,872 : 92,283.36 = 37,064 : x
  2. Step 2: Convert to fraction form
    66,872/92,283.36 = 37,064/x
  3. Step 3: Cross multiply
    66,872x = 92,283.36 × 37,064
  4. Step 4: Simplify right side
    66,872x = 3,420,390,455.04
  5. Step 5: Solve for x
    x = 3,420,390,455.04/66,872
  6. Step 6: Final answer
    x = 51,148.32

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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.