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Finding the Fourth Proportional to 210,496, 290,484.48 and 121,072

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Solution

The fourth proportional to 210,496, 290,484.48 and 121,072 is: 167,079.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,496 : 290,484.48 = 121,072 : x
  2. Step 2: Convert to fraction form
    210,496/290,484.48 = 121,072/x
  3. Step 3: Cross multiply
    210,496x = 290,484.48 × 121,072
  4. Step 4: Simplify right side
    210,496x = 35,169,536,962.56
  5. Step 5: Solve for x
    x = 35,169,536,962.56/210,496
  6. Step 6: Final answer
    x = 167,079.36

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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.