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Finding the Fourth Proportional to 153,625.82, 211,982.83 and 85,639.50

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Solution

The fourth proportional to 153,625.82, 211,982.83 and 85,639.50 is: 118,170.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,625.82 : 211,982.83 = 85,639.50 : x
  2. Step 2: Convert to fraction form
    153,625.82/211,982.83 = 85,639.50/x
  3. Step 3: Cross multiply
    153,625.82x = 211,982.83 × 85,639.50
  4. Step 4: Simplify right side
    153,625.82x = 18,154,104,554.04
  5. Step 5: Solve for x
    x = 18,154,104,554.04/153,625.82
  6. Step 6: Final answer
    x = 118,170.92

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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.