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Finding the Fourth Proportional to 154,852.89, 213,699.09 and 86,884.57

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Solution

The fourth proportional to 154,852.89, 213,699.09 and 86,884.57 is: 119,901.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,852.89 : 213,699.09 = 86,884.57 : x
  2. Step 2: Convert to fraction form
    154,852.89/213,699.09 = 86,884.57/x
  3. Step 3: Cross multiply
    154,852.89x = 213,699.09 × 86,884.57
  4. Step 4: Simplify right side
    154,852.89x = 18,567,153,544.04
  5. Step 5: Solve for x
    x = 18,567,153,544.04/154,852.89
  6. Step 6: Final answer
    x = 119,901.89

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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.