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Finding the Fourth Proportional to 210,502.62, 290,493.27 and 115,009.29

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Solution

The fourth proportional to 210,502.62, 290,493.27 and 115,009.29 is: 158,712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,502.62 : 290,493.27 = 115,009.29 : x
  2. Step 2: Convert to fraction form
    210,502.62/290,493.27 = 115,009.29/x
  3. Step 3: Cross multiply
    210,502.62x = 290,493.27 × 115,009.29
  4. Step 4: Simplify right side
    210,502.62x = 33,409,424,732.48
  5. Step 5: Solve for x
    x = 33,409,424,732.48/210,502.62
  6. Step 6: Final answer
    x = 158,712.63

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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.