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Finding the Fourth Proportional to 210,625.52, 290,690.47 and 120,014.06

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Solution

The fourth proportional to 210,625.52, 290,690.47 and 120,014.06 is: 165,634.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,625.52 : 290,690.47 = 120,014.06 : x
  2. Step 2: Convert to fraction form
    210,625.52/290,690.47 = 120,014.06/x
  3. Step 3: Cross multiply
    210,625.52x = 290,690.47 × 120,014.06
  4. Step 4: Simplify right side
    210,625.52x = 34,886,942,204.57
  5. Step 5: Solve for x
    x = 34,886,942,204.57/210,625.52
  6. Step 6: Final answer
    x = 165,634.93

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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.