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Finding the Fourth Proportional to 66,972, 92,421.60 and 37,164

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Solution

The fourth proportional to 66,972, 92,421.60 and 37,164 is: 51,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,972 : 92,421.60 = 37,164 : x
  2. Step 2: Convert to fraction form
    66,972/92,421.60 = 37,164/x
  3. Step 3: Cross multiply
    66,972x = 92,421.60 × 37,164
  4. Step 4: Simplify right side
    66,972x = 3,434,756,342.40
  5. Step 5: Solve for x
    x = 3,434,756,342.40/66,972
  6. Step 6: Final answer
    x = 51,286.45

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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.