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Finding the Fourth Proportional to 210,642.49, 290,692.97 and 115,154.29

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Solution

The fourth proportional to 210,642.49, 290,692.97 and 115,154.29 is: 158,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,642.49 : 290,692.97 = 115,154.29 : x
  2. Step 2: Convert to fraction form
    210,642.49/290,692.97 = 115,154.29/x
  3. Step 3: Cross multiply
    210,642.49x = 290,692.97 × 115,154.29
  4. Step 4: Simplify right side
    210,642.49x = 33,474,542,568.34
  5. Step 5: Solve for x
    x = 33,474,542,568.34/210,642.49
  6. Step 6: Final answer
    x = 158,916.38

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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.