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Finding the Fourth Proportional to 73,302, 101,156.80 and 39,768

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Solution

The fourth proportional to 73,302, 101,156.80 and 39,768 is: 54,879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,302 : 101,156.80 = 39,768 : x
  2. Step 2: Convert to fraction form
    73,302/101,156.80 = 39,768/x
  3. Step 3: Cross multiply
    73,302x = 101,156.80 × 39,768
  4. Step 4: Simplify right side
    73,302x = 4,022,803,622.40
  5. Step 5: Solve for x
    x = 4,022,803,622.40/73,302
  6. Step 6: Final answer
    x = 54,879.86

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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.