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Finding the Fourth Proportional to 102,042.63, 140,785.20 and 61,741.08

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Solution

The fourth proportional to 102,042.63, 140,785.20 and 61,741.08 is: 85,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,042.63 : 140,785.20 = 61,741.08 : x
  2. Step 2: Convert to fraction form
    102,042.63/140,785.20 = 61,741.08/x
  3. Step 3: Cross multiply
    102,042.63x = 140,785.20 × 61,741.08
  4. Step 4: Simplify right side
    102,042.63x = 8,692,230,296.02
  5. Step 5: Solve for x
    x = 8,692,230,296.02/102,042.63
  6. Step 6: Final answer
    x = 85,182.34

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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.