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Finding the Fourth Proportional to 212,589, 293,351.52 and 130,904.16

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Solution

The fourth proportional to 212,589, 293,351.52 and 130,904.16 is: 180,634.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,589 : 293,351.52 = 130,904.16 : x
  2. Step 2: Convert to fraction form
    212,589/293,351.52 = 130,904.16/x
  3. Step 3: Cross multiply
    212,589x = 293,351.52 × 130,904.16
  4. Step 4: Simplify right side
    212,589x = 38,400,933,701.15
  5. Step 5: Solve for x
    x = 38,400,933,701.15/212,589
  6. Step 6: Final answer
    x = 180,634.62

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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.