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Finding the Fourth Proportional to 210,498.84, 290,390.94 and 121,023

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Solution

The fourth proportional to 210,498.84, 290,390.94 and 121,023 is: 166,955.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,498.84 : 290,390.94 = 121,023 : x
  2. Step 2: Convert to fraction form
    210,498.84/290,390.94 = 121,023/x
  3. Step 3: Cross multiply
    210,498.84x = 290,390.94 × 121,023
  4. Step 4: Simplify right side
    210,498.84x = 35,143,982,731.62
  5. Step 5: Solve for x
    x = 35,143,982,731.62/210,498.84
  6. Step 6: Final answer
    x = 166,955.71

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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.