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Finding the Fourth Proportional to 173,189.76, 238,913.82 and 105,188.64

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Solution

The fourth proportional to 173,189.76, 238,913.82 and 105,188.64 is: 145,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,189.76 : 238,913.82 = 105,188.64 : x
  2. Step 2: Convert to fraction form
    173,189.76/238,913.82 = 105,188.64/x
  3. Step 3: Cross multiply
    173,189.76x = 238,913.82 × 105,188.64
  4. Step 4: Simplify right side
    173,189.76x = 25,131,019,803.00
  5. Step 5: Solve for x
    x = 25,131,019,803.00/173,189.76
  6. Step 6: Final answer
    x = 145,106.85

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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.