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Finding the Fourth Proportional to 153,086.44, 211,262.82 and 86,019.56

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Solution

The fourth proportional to 153,086.44, 211,262.82 and 86,019.56 is: 118,708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,086.44 : 211,262.82 = 86,019.56 : x
  2. Step 2: Convert to fraction form
    153,086.44/211,262.82 = 86,019.56/x
  3. Step 3: Cross multiply
    153,086.44x = 211,262.82 × 86,019.56
  4. Step 4: Simplify right side
    153,086.44x = 18,172,734,820.76
  5. Step 5: Solve for x
    x = 18,172,734,820.76/153,086.44
  6. Step 6: Final answer
    x = 118,708.98

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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.