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Finding the Fourth Proportional to 153,095, 211,272.18 and 86,027

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Solution

The fourth proportional to 153,095, 211,272.18 and 86,027 is: 118,717.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,095 : 211,272.18 = 86,027 : x
  2. Step 2: Convert to fraction form
    153,095/211,272.18 = 86,027/x
  3. Step 3: Cross multiply
    153,095x = 211,272.18 × 86,027
  4. Step 4: Simplify right side
    153,095x = 18,175,111,828.86
  5. Step 5: Solve for x
    x = 18,175,111,828.86/153,095
  6. Step 6: Final answer
    x = 118,717.87

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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.