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Finding the Fourth Proportional to 172,089.63, 258,200.64 and 83,336.31

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Solution

The fourth proportional to 172,089.63, 258,200.64 and 83,336.31 is: 125,036.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,089.63 : 258,200.64 = 83,336.31 : x
  2. Step 2: Convert to fraction form
    172,089.63/258,200.64 = 83,336.31/x
  3. Step 3: Cross multiply
    172,089.63x = 258,200.64 × 83,336.31
  4. Step 4: Simplify right side
    172,089.63x = 21,517,488,577.24
  5. Step 5: Solve for x
    x = 21,517,488,577.24/172,089.63
  6. Step 6: Final answer
    x = 125,036.52

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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.