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Finding the Fourth Proportional to 217,555.65, 300,210.82 and 120,765.10

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Solution

The fourth proportional to 217,555.65, 300,210.82 and 120,765.10 is: 166,646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,555.65 : 300,210.82 = 120,765.10 : x
  2. Step 2: Convert to fraction form
    217,555.65/300,210.82 = 120,765.10/x
  3. Step 3: Cross multiply
    217,555.65x = 300,210.82 × 120,765.10
  4. Step 4: Simplify right side
    217,555.65x = 36,254,989,698.38
  5. Step 5: Solve for x
    x = 36,254,989,698.38/217,555.65
  6. Step 6: Final answer
    x = 166,646.97

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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.