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Finding the Fourth Proportional to 153,591.81, 211,953.07 and 89,072.57

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Solution

The fourth proportional to 153,591.81, 211,953.07 and 89,072.57 is: 122,918.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,591.81 : 211,953.07 = 89,072.57 : x
  2. Step 2: Convert to fraction form
    153,591.81/211,953.07 = 89,072.57/x
  3. Step 3: Cross multiply
    153,591.81x = 211,953.07 × 89,072.57
  4. Step 4: Simplify right side
    153,591.81x = 18,879,204,971.49
  5. Step 5: Solve for x
    x = 18,879,204,971.49/153,591.81
  6. Step 6: Final answer
    x = 122,918.04

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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.