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Finding the Fourth Proportional to 215,908.74, 297,954.59 and 120,421.62

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Solution

The fourth proportional to 215,908.74, 297,954.59 and 120,421.62 is: 166,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,908.74 : 297,954.59 = 120,421.62 : x
  2. Step 2: Convert to fraction form
    215,908.74/297,954.59 = 120,421.62/x
  3. Step 3: Cross multiply
    215,908.74x = 297,954.59 × 120,421.62
  4. Step 4: Simplify right side
    215,908.74x = 35,880,173,812.13
  5. Step 5: Solve for x
    x = 35,880,173,812.13/215,908.74
  6. Step 6: Final answer
    x = 166,182.13

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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.