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Finding the Fourth Proportional to 210,138.90, 289,990.39 and 119,494.93

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Solution

The fourth proportional to 210,138.90, 289,990.39 and 119,494.93 is: 164,902.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,138.90 : 289,990.39 = 119,494.93 : x
  2. Step 2: Convert to fraction form
    210,138.90/289,990.39 = 119,494.93/x
  3. Step 3: Cross multiply
    210,138.90x = 289,990.39 × 119,494.93
  4. Step 4: Simplify right side
    210,138.90x = 34,652,381,353.72
  5. Step 5: Solve for x
    x = 34,652,381,353.72/210,138.90
  6. Step 6: Final answer
    x = 164,902.27

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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.