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Finding the Fourth Proportional to 101,856, 152,845.44 and 43,488

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Solution

The fourth proportional to 101,856, 152,845.44 and 43,488 is: 65,258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,856 : 152,845.44 = 43,488 : x
  2. Step 2: Convert to fraction form
    101,856/152,845.44 = 43,488/x
  3. Step 3: Cross multiply
    101,856x = 152,845.44 × 43,488
  4. Step 4: Simplify right side
    101,856x = 6,646,942,494.72
  5. Step 5: Solve for x
    x = 6,646,942,494.72/101,856
  6. Step 6: Final answer
    x = 65,258.23

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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.