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Finding the Fourth Proportional to 210,480.88, 290,464.64 and 114,989.17

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Solution

The fourth proportional to 210,480.88, 290,464.64 and 114,989.17 is: 158,685.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,480.88 : 290,464.64 = 114,989.17 : x
  2. Step 2: Convert to fraction form
    210,480.88/290,464.64 = 114,989.17/x
  3. Step 3: Cross multiply
    210,480.88x = 290,464.64 × 114,989.17
  4. Step 4: Simplify right side
    210,480.88x = 33,400,287,867.95
  5. Step 5: Solve for x
    x = 33,400,287,867.95/210,480.88
  6. Step 6: Final answer
    x = 158,685.61

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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.