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Finding the Fourth Proportional to 84,004.65, 115,929.06 and 48,205.89

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Solution

The fourth proportional to 84,004.65, 115,929.06 and 48,205.89 is: 66,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,004.65 : 115,929.06 = 48,205.89 : x
  2. Step 2: Convert to fraction form
    84,004.65/115,929.06 = 48,205.89/x
  3. Step 3: Cross multiply
    84,004.65x = 115,929.06 × 48,205.89
  4. Step 4: Simplify right side
    84,004.65x = 5,588,463,514.16
  5. Step 5: Solve for x
    x = 5,588,463,514.16/84,004.65
  6. Step 6: Final answer
    x = 66,525.64

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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.