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Finding the Fourth Proportional to 210,170, 289,994.92 and 125,294.96

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Solution

The fourth proportional to 210,170, 289,994.92 and 125,294.96 is: 172,883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,170 : 289,994.92 = 125,294.96 : x
  2. Step 2: Convert to fraction form
    210,170/289,994.92 = 125,294.96/x
  3. Step 3: Cross multiply
    210,170x = 289,994.92 × 125,294.96
  4. Step 4: Simplify right side
    210,170x = 36,334,901,901.60
  5. Step 5: Solve for x
    x = 36,334,901,901.60/210,170
  6. Step 6: Final answer
    x = 172,883.39

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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.