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Finding the Fourth Proportional to 171,433.06, 256,702.29 and 137,970.34

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Solution

The fourth proportional to 171,433.06, 256,702.29 and 137,970.34 is: 206,595.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,433.06 : 256,702.29 = 137,970.34 : x
  2. Step 2: Convert to fraction form
    171,433.06/256,702.29 = 137,970.34/x
  3. Step 3: Cross multiply
    171,433.06x = 256,702.29 × 137,970.34
  4. Step 4: Simplify right side
    171,433.06x = 35,417,302,230.08
  5. Step 5: Solve for x
    x = 35,417,302,230.08/171,433.06
  6. Step 6: Final answer
    x = 206,595.52

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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.