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Finding the Fourth Proportional to 210,971.56, 291,142.56 and 120,332.11

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Solution

The fourth proportional to 210,971.56, 291,142.56 and 120,332.11 is: 166,059.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,971.56 : 291,142.56 = 120,332.11 : x
  2. Step 2: Convert to fraction form
    210,971.56/291,142.56 = 120,332.11/x
  3. Step 3: Cross multiply
    210,971.56x = 291,142.56 × 120,332.11
  4. Step 4: Simplify right side
    210,971.56x = 35,033,796,498.23
  5. Step 5: Solve for x
    x = 35,033,796,498.23/210,971.56
  6. Step 6: Final answer
    x = 166,059.34

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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.