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Finding the Fourth Proportional to 180,856, 271,284 and 70,048

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Solution

The fourth proportional to 180,856, 271,284 and 70,048 is: 105,072

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,856 : 271,284 = 70,048 : x
  2. Step 2: Convert to fraction form
    180,856/271,284 = 70,048/x
  3. Step 3: Cross multiply
    180,856x = 271,284 × 70,048
  4. Step 4: Simplify right side
    180,856x = 19,002,901,632
  5. Step 5: Solve for x
    x = 19,002,901,632/180,856
  6. Step 6: Final answer
    x = 105,072

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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.