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Finding the Fourth Proportional to 66,554.29, 99,782.16 and 31,452.94

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Solution

The fourth proportional to 66,554.29, 99,782.16 and 31,452.94 is: 47,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,554.29 : 99,782.16 = 31,452.94 : x
  2. Step 2: Convert to fraction form
    66,554.29/99,782.16 = 31,452.94/x
  3. Step 3: Cross multiply
    66,554.29x = 99,782.16 × 31,452.94
  4. Step 4: Simplify right side
    66,554.29x = 3,138,442,291.55
  5. Step 5: Solve for x
    x = 3,138,442,291.55/66,554.29
  6. Step 6: Final answer
    x = 47,156.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.