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Finding the Fourth Proportional to 61,146, 84,414.29 and 47,685.02

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Solution

The fourth proportional to 61,146, 84,414.29 and 47,685.02 is: 65,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,146 : 84,414.29 = 47,685.02 : x
  2. Step 2: Convert to fraction form
    61,146/84,414.29 = 47,685.02/x
  3. Step 3: Cross multiply
    61,146x = 84,414.29 × 47,685.02
  4. Step 4: Simplify right side
    61,146x = 4,025,296,446.44
  5. Step 5: Solve for x
    x = 4,025,296,446.44/61,146
  6. Step 6: Final answer
    x = 65,830.90

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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.