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Finding the Fourth Proportional to 211,152.71, 291,309.66 and 120,513.71

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Solution

The fourth proportional to 211,152.71, 291,309.66 and 120,513.71 is: 166,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,152.71 : 291,309.66 = 120,513.71 : x
  2. Step 2: Convert to fraction form
    211,152.71/291,309.66 = 120,513.71/x
  3. Step 3: Cross multiply
    211,152.71x = 291,309.66 × 120,513.71
  4. Step 4: Simplify right side
    211,152.71x = 35,106,807,885.44
  5. Step 5: Solve for x
    x = 35,106,807,885.44/211,152.71
  6. Step 6: Final answer
    x = 166,262.64

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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.