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Finding the Fourth Proportional to 172,768.86, 238,415.67 and 97,315.74

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Solution

The fourth proportional to 172,768.86, 238,415.67 and 97,315.74 is: 134,292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,768.86 : 238,415.67 = 97,315.74 : x
  2. Step 2: Convert to fraction form
    172,768.86/238,415.67 = 97,315.74/x
  3. Step 3: Cross multiply
    172,768.86x = 238,415.67 × 97,315.74
  4. Step 4: Simplify right side
    172,768.86x = 23,201,597,353.65
  5. Step 5: Solve for x
    x = 23,201,597,353.65/172,768.86
  6. Step 6: Final answer
    x = 134,292.70

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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.