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Finding the Fourth Proportional to 172,090, 257,582.22 and 91,927.54

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Solution

The fourth proportional to 172,090, 257,582.22 and 91,927.54 is: 137,596.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,090 : 257,582.22 = 91,927.54 : x
  2. Step 2: Convert to fraction form
    172,090/257,582.22 = 91,927.54/x
  3. Step 3: Cross multiply
    172,090x = 257,582.22 × 91,927.54
  4. Step 4: Simplify right side
    172,090x = 23,678,899,832.34
  5. Step 5: Solve for x
    x = 23,678,899,832.34/172,090
  6. Step 6: Final answer
    x = 137,596.02

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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.