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Finding the Fourth Proportional to 211,145.46, 291,299.67 and 120,506.46

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Solution

The fourth proportional to 211,145.46, 291,299.67 and 120,506.46 is: 166,252.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,145.46 : 291,299.67 = 120,506.46 : x
  2. Step 2: Convert to fraction form
    211,145.46/291,299.67 = 120,506.46/x
  3. Step 3: Cross multiply
    211,145.46x = 291,299.67 × 120,506.46
  4. Step 4: Simplify right side
    211,145.46x = 35,103,492,030.87
  5. Step 5: Solve for x
    x = 35,103,492,030.87/211,145.46
  6. Step 6: Final answer
    x = 166,252.65

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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.