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Finding the Fourth Proportional to 180,480.84, 270,630.13 and 105,623.47

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Solution

The fourth proportional to 180,480.84, 270,630.13 and 105,623.47 is: 158,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,480.84 : 270,630.13 = 105,623.47 : x
  2. Step 2: Convert to fraction form
    180,480.84/270,630.13 = 105,623.47/x
  3. Step 3: Cross multiply
    180,480.84x = 270,630.13 × 105,623.47
  4. Step 4: Simplify right side
    180,480.84x = 28,584,892,889.03
  5. Step 5: Solve for x
    x = 28,584,892,889.03/180,480.84
  6. Step 6: Final answer
    x = 158,381.87

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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.