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Finding the Fourth Proportional to 66,578.48, 91,878.42 and 37,897.16

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Solution

The fourth proportional to 66,578.48, 91,878.42 and 37,897.16 is: 52,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,578.48 : 91,878.42 = 37,897.16 : x
  2. Step 2: Convert to fraction form
    66,578.48/91,878.42 = 37,897.16/x
  3. Step 3: Cross multiply
    66,578.48x = 91,878.42 × 37,897.16
  4. Step 4: Simplify right side
    66,578.48x = 3,481,931,183.29
  5. Step 5: Solve for x
    x = 3,481,931,183.29/66,578.48
  6. Step 6: Final answer
    x = 52,298.15

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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.