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Finding the Fourth Proportional to 210,351.88, 290,311.14 and 119,730.16

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Solution

The fourth proportional to 210,351.88, 290,311.14 and 119,730.16 is: 165,242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,351.88 : 290,311.14 = 119,730.16 : x
  2. Step 2: Convert to fraction form
    210,351.88/290,311.14 = 119,730.16/x
  3. Step 3: Cross multiply
    210,351.88x = 290,311.14 × 119,730.16
  4. Step 4: Simplify right side
    210,351.88x = 34,758,999,241.98
  5. Step 5: Solve for x
    x = 34,758,999,241.98/210,351.88
  6. Step 6: Final answer
    x = 165,242.16

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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.