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Finding the Fourth Proportional to 66,946.50, 92,386.17 and 37,138.50

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Solution

The fourth proportional to 66,946.50, 92,386.17 and 37,138.50 is: 51,251.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,946.50 : 92,386.17 = 37,138.50 : x
  2. Step 2: Convert to fraction form
    66,946.50/92,386.17 = 37,138.50/x
  3. Step 3: Cross multiply
    66,946.50x = 92,386.17 × 37,138.50
  4. Step 4: Simplify right side
    66,946.50x = 3,431,083,774.55
  5. Step 5: Solve for x
    x = 3,431,083,774.55/66,946.50
  6. Step 6: Final answer
    x = 51,251.13

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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.