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Finding the Fourth Proportional to 172,698.66, 259,106.81 and 105,365.52

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Solution

The fourth proportional to 172,698.66, 259,106.81 and 105,365.52 is: 158,084.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,698.66 : 259,106.81 = 105,365.52 : x
  2. Step 2: Convert to fraction form
    172,698.66/259,106.81 = 105,365.52/x
  3. Step 3: Cross multiply
    172,698.66x = 259,106.81 × 105,365.52
  4. Step 4: Simplify right side
    172,698.66x = 27,300,923,244.36
  5. Step 5: Solve for x
    x = 27,300,923,244.36/172,698.66
  6. Step 6: Final answer
    x = 158,084.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.