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Finding the Fourth Proportional to 210,416, 290,382.72 and 120,992

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Solution

The fourth proportional to 210,416, 290,382.72 and 120,992 is: 166,973.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,416 : 290,382.72 = 120,992 : x
  2. Step 2: Convert to fraction form
    210,416/290,382.72 = 120,992/x
  3. Step 3: Cross multiply
    210,416x = 290,382.72 × 120,992
  4. Step 4: Simplify right side
    210,416x = 35,133,986,058.24
  5. Step 5: Solve for x
    x = 35,133,986,058.24/210,416
  6. Step 6: Final answer
    x = 166,973.93

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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.