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Finding the Fourth Proportional to 153,297.86, 211,551.05 and 86,229.86

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Solution

The fourth proportional to 153,297.86, 211,551.05 and 86,229.86 is: 118,997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,297.86 : 211,551.05 = 86,229.86 : x
  2. Step 2: Convert to fraction form
    153,297.86/211,551.05 = 86,229.86/x
  3. Step 3: Cross multiply
    153,297.86x = 211,551.05 × 86,229.86
  4. Step 4: Simplify right side
    153,297.86x = 18,242,016,582.17
  5. Step 5: Solve for x
    x = 18,242,016,582.17/153,297.86
  6. Step 6: Final answer
    x = 118,997.21

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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.