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Finding the Fourth Proportional to 210,471.70, 290,455.22 and 114,984.56

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Solution

The fourth proportional to 210,471.70, 290,455.22 and 114,984.56 is: 158,681.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,471.70 : 290,455.22 = 114,984.56 : x
  2. Step 2: Convert to fraction form
    210,471.70/290,455.22 = 114,984.56/x
  3. Step 3: Cross multiply
    210,471.70x = 290,455.22 × 114,984.56
  4. Step 4: Simplify right side
    210,471.70x = 33,397,865,671.40
  5. Step 5: Solve for x
    x = 33,397,865,671.40/210,471.70
  6. Step 6: Final answer
    x = 158,681.03

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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.