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Finding the Fourth Proportional to 210,524.67, 290,652.74 and 137,007.14

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Solution

The fourth proportional to 210,524.67, 290,652.74 and 137,007.14 is: 189,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,524.67 : 290,652.74 = 137,007.14 : x
  2. Step 2: Convert to fraction form
    210,524.67/290,652.74 = 137,007.14/x
  3. Step 3: Cross multiply
    210,524.67x = 290,652.74 × 137,007.14
  4. Step 4: Simplify right side
    210,524.67x = 39,821,499,016.04
  5. Step 5: Solve for x
    x = 39,821,499,016.04/210,524.67
  6. Step 6: Final answer
    x = 189,153.60

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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.