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Finding the Fourth Proportional to 211,142.46, 291,295.53 and 120,503.46

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Solution

The fourth proportional to 211,142.46, 291,295.53 and 120,503.46 is: 166,248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,142.46 : 291,295.53 = 120,503.46 : x
  2. Step 2: Convert to fraction form
    211,142.46/291,295.53 = 120,503.46/x
  3. Step 3: Cross multiply
    211,142.46x = 291,295.53 × 120,503.46
  4. Step 4: Simplify right side
    211,142.46x = 35,102,119,247.53
  5. Step 5: Solve for x
    x = 35,102,119,247.53/211,142.46
  6. Step 6: Final answer
    x = 166,248.51

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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.