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Finding the Fourth Proportional to 217,053.42, 299,526.72 and 120,253.30

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Solution

The fourth proportional to 217,053.42, 299,526.72 and 120,253.30 is: 165,945.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,053.42 : 299,526.72 = 120,253.30 : x
  2. Step 2: Convert to fraction form
    217,053.42/299,526.72 = 120,253.30/x
  3. Step 3: Cross multiply
    217,053.42x = 299,526.72 × 120,253.30
  4. Step 4: Simplify right side
    217,053.42x = 36,019,074,719.91
  5. Step 5: Solve for x
    x = 36,019,074,719.91/217,053.42
  6. Step 6: Final answer
    x = 165,945.67

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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.