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Finding the Fourth Proportional to 210,556.48, 290,555.68 and 115,064

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Solution

The fourth proportional to 210,556.48, 290,555.68 and 115,064 is: 158,781.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,556.48 : 290,555.68 = 115,064 : x
  2. Step 2: Convert to fraction form
    210,556.48/290,555.68 = 115,064/x
  3. Step 3: Cross multiply
    210,556.48x = 290,555.68 × 115,064
  4. Step 4: Simplify right side
    210,556.48x = 33,432,498,763.52
  5. Step 5: Solve for x
    x = 33,432,498,763.52/210,556.48
  6. Step 6: Final answer
    x = 158,781.62

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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.