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Finding the Fourth Proportional to 210,500.25, 290,490.65 and 119,856.25

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Solution

The fourth proportional to 210,500.25, 290,490.65 and 119,856.25 is: 165,401.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,500.25 : 290,490.65 = 119,856.25 : x
  2. Step 2: Convert to fraction form
    210,500.25/290,490.65 = 119,856.25/x
  3. Step 3: Cross multiply
    210,500.25x = 290,490.65 × 119,856.25
  4. Step 4: Simplify right side
    210,500.25x = 34,817,119,969.06
  5. Step 5: Solve for x
    x = 34,817,119,969.06/210,500.25
  6. Step 6: Final answer
    x = 165,401.80

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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.