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Finding the Fourth Proportional to 155,781.76, 214,988.94 and 90,383.98

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Solution

The fourth proportional to 155,781.76, 214,988.94 and 90,383.98 is: 124,735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,781.76 : 214,988.94 = 90,383.98 : x
  2. Step 2: Convert to fraction form
    155,781.76/214,988.94 = 90,383.98/x
  3. Step 3: Cross multiply
    155,781.76x = 214,988.94 × 90,383.98
  4. Step 4: Simplify right side
    155,781.76x = 19,431,556,053.18
  5. Step 5: Solve for x
    x = 19,431,556,053.18/155,781.76
  6. Step 6: Final answer
    x = 124,735.76

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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.