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Finding the Fourth Proportional to 103,446.96, 142,784.09 and 61,033.74

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Solution

The fourth proportional to 103,446.96, 142,784.09 and 61,033.74 is: 84,242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,446.96 : 142,784.09 = 61,033.74 : x
  2. Step 2: Convert to fraction form
    103,446.96/142,784.09 = 61,033.74/x
  3. Step 3: Cross multiply
    103,446.96x = 142,784.09 × 61,033.74
  4. Step 4: Simplify right side
    103,446.96x = 8,714,647,025.20
  5. Step 5: Solve for x
    x = 8,714,647,025.20/103,446.96
  6. Step 6: Final answer
    x = 84,242.66

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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.