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Finding the Fourth Proportional to 210,412, 290,377.20 and 120,988

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Solution

The fourth proportional to 210,412, 290,377.20 and 120,988 is: 166,968.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,412 : 290,377.20 = 120,988 : x
  2. Step 2: Convert to fraction form
    210,412/290,377.20 = 120,988/x
  3. Step 3: Cross multiply
    210,412x = 290,377.20 × 120,988
  4. Step 4: Simplify right side
    210,412x = 35,132,156,673.60
  5. Step 5: Solve for x
    x = 35,132,156,673.60/210,412
  6. Step 6: Final answer
    x = 166,968.41

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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.