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Finding the Fourth Proportional to 172,998.86, 238,697.69 and 105,014.15

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Solution

The fourth proportional to 172,998.86, 238,697.69 and 105,014.15 is: 144,894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,998.86 : 238,697.69 = 105,014.15 : x
  2. Step 2: Convert to fraction form
    172,998.86/238,697.69 = 105,014.15/x
  3. Step 3: Cross multiply
    172,998.86x = 238,697.69 × 105,014.15
  4. Step 4: Simplify right side
    172,998.86x = 25,066,634,497.24
  5. Step 5: Solve for x
    x = 25,066,634,497.24/172,998.86
  6. Step 6: Final answer
    x = 144,894.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.