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Finding the Fourth Proportional to 211,553.50, 291,969.66 and 120,913.29

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Solution

The fourth proportional to 211,553.50, 291,969.66 and 120,913.29 is: 166,875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,553.50 : 291,969.66 = 120,913.29 : x
  2. Step 2: Convert to fraction form
    211,553.50/291,969.66 = 120,913.29/x
  3. Step 3: Cross multiply
    211,553.50x = 291,969.66 × 120,913.29
  4. Step 4: Simplify right side
    211,553.50x = 35,303,012,170.78
  5. Step 5: Solve for x
    x = 35,303,012,170.78/211,553.50
  6. Step 6: Final answer
    x = 166,875.10

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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.