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Finding the Fourth Proportional to 61,770, 85,246.86 and 37,580.40

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Solution

The fourth proportional to 61,770, 85,246.86 and 37,580.40 is: 51,863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,770 : 85,246.86 = 37,580.40 : x
  2. Step 2: Convert to fraction form
    61,770/85,246.86 = 37,580.40/x
  3. Step 3: Cross multiply
    61,770x = 85,246.86 × 37,580.40
  4. Step 4: Simplify right side
    61,770x = 3,203,611,097.54
  5. Step 5: Solve for x
    x = 3,203,611,097.54/61,770
  6. Step 6: Final answer
    x = 51,863.54

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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.