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Finding the Fourth Proportional to 106,396.64, 146,834.88 and 61,082

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Solution

The fourth proportional to 106,396.64, 146,834.88 and 61,082 is: 84,297.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,396.64 : 146,834.88 = 61,082 : x
  2. Step 2: Convert to fraction form
    106,396.64/146,834.88 = 61,082/x
  3. Step 3: Cross multiply
    106,396.64x = 146,834.88 × 61,082
  4. Step 4: Simplify right side
    106,396.64x = 8,968,968,140.16
  5. Step 5: Solve for x
    x = 8,968,968,140.16/106,396.64
  6. Step 6: Final answer
    x = 84,297.48

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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.