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Finding the Fourth Proportional to 66,920, 92,349.76 and 37,117.76

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Solution

The fourth proportional to 66,920, 92,349.76 and 37,117.76 is: 51,222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,920 : 92,349.76 = 37,117.76 : x
  2. Step 2: Convert to fraction form
    66,920/92,349.76 = 37,117.76/x
  3. Step 3: Cross multiply
    66,920x = 92,349.76 × 37,117.76
  4. Step 4: Simplify right side
    66,920x = 3,427,816,227.74
  5. Step 5: Solve for x
    x = 3,427,816,227.74/66,920
  6. Step 6: Final answer
    x = 51,222.60

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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.