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Finding the Fourth Proportional to 172,039.64, 258,095.34 and 86,698.48

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Solution

The fourth proportional to 172,039.64, 258,095.34 and 86,698.48 is: 130,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,039.64 : 258,095.34 = 86,698.48 : x
  2. Step 2: Convert to fraction form
    172,039.64/258,095.34 = 86,698.48/x
  3. Step 3: Cross multiply
    172,039.64x = 258,095.34 × 86,698.48
  4. Step 4: Simplify right side
    172,039.64x = 22,376,473,673.08
  5. Step 5: Solve for x
    x = 22,376,473,673.08/172,039.64
  6. Step 6: Final answer
    x = 130,065.80

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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.