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Finding the Fourth Proportional to 221,070.72, 305,082.54 and 130,448.76

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Solution

The fourth proportional to 221,070.72, 305,082.54 and 130,448.76 is: 180,022.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,070.72 : 305,082.54 = 130,448.76 : x
  2. Step 2: Convert to fraction form
    221,070.72/305,082.54 = 130,448.76/x
  3. Step 3: Cross multiply
    221,070.72x = 305,082.54 × 130,448.76
  4. Step 4: Simplify right side
    221,070.72x = 39,797,639,040.65
  5. Step 5: Solve for x
    x = 39,797,639,040.65/221,070.72
  6. Step 6: Final answer
    x = 180,022.21

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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.