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Finding the Fourth Proportional to 209,754.90, 289,569.06 and 142,129.26

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Solution

The fourth proportional to 209,754.90, 289,569.06 and 142,129.26 is: 196,211.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,754.90 : 289,569.06 = 142,129.26 : x
  2. Step 2: Convert to fraction form
    209,754.90/289,569.06 = 142,129.26/x
  3. Step 3: Cross multiply
    209,754.90x = 289,569.06 × 142,129.26
  4. Step 4: Simplify right side
    209,754.90x = 41,156,236,216.70
  5. Step 5: Solve for x
    x = 41,156,236,216.70/209,754.90
  6. Step 6: Final answer
    x = 196,211.08

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1.5x scale

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.