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Finding the Fourth Proportional to 172,106.22, 258,059.10 and 66,802.17

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Solution

The fourth proportional to 172,106.22, 258,059.10 and 66,802.17 is: 100,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,106.22 : 258,059.10 = 66,802.17 : x
  2. Step 2: Convert to fraction form
    172,106.22/258,059.10 = 66,802.17/x
  3. Step 3: Cross multiply
    172,106.22x = 258,059.10 × 66,802.17
  4. Step 4: Simplify right side
    172,106.22x = 17,238,907,868.25
  5. Step 5: Solve for x
    x = 17,238,907,868.25/172,106.22
  6. Step 6: Final answer
    x = 100,164.35

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1.5x scale

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.