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Finding the Fourth Proportional to 137,046.30, 205,569.45 and 113,718.30

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Solution

The fourth proportional to 137,046.30, 205,569.45 and 113,718.30 is: 170,577.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,046.30 : 205,569.45 = 113,718.30 : x
  2. Step 2: Convert to fraction form
    137,046.30/205,569.45 = 113,718.30/x
  3. Step 3: Cross multiply
    137,046.30x = 205,569.45 × 113,718.30
  4. Step 4: Simplify right side
    137,046.30x = 23,377,008,385.94
  5. Step 5: Solve for x
    x = 23,377,008,385.94/137,046.30
  6. Step 6: Final answer
    x = 170,577.45

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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.