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Finding the Fourth Proportional to 101,849.80, 153,005.10 and 70,745.80

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Solution

The fourth proportional to 101,849.80, 153,005.10 and 70,745.80 is: 106,278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,849.80 : 153,005.10 = 70,745.80 : x
  2. Step 2: Convert to fraction form
    101,849.80/153,005.10 = 70,745.80/x
  3. Step 3: Cross multiply
    101,849.80x = 153,005.10 × 70,745.80
  4. Step 4: Simplify right side
    101,849.80x = 10,824,468,203.58
  5. Step 5: Solve for x
    x = 10,824,468,203.58/101,849.80
  6. Step 6: Final answer
    x = 106,278.74

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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.