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Finding the Fourth Proportional to 137,013.58, 205,520.10 and 51,640.39

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Solution

The fourth proportional to 137,013.58, 205,520.10 and 51,640.39 is: 77,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,013.58 : 205,520.10 = 51,640.39 : x
  2. Step 2: Convert to fraction form
    137,013.58/205,520.10 = 51,640.39/x
  3. Step 3: Cross multiply
    137,013.58x = 205,520.10 × 51,640.39
  4. Step 4: Simplify right side
    137,013.58x = 10,613,138,116.84
  5. Step 5: Solve for x
    x = 10,613,138,116.84/137,013.58
  6. Step 6: Final answer
    x = 77,460.48

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1.5x scale

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.