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Finding the Fourth Proportional to 73,299, 101,153.16 and 39,765

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Solution

The fourth proportional to 73,299, 101,153.16 and 39,765 is: 54,875.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,299 : 101,153.16 = 39,765 : x
  2. Step 2: Convert to fraction form
    73,299/101,153.16 = 39,765/x
  3. Step 3: Cross multiply
    73,299x = 101,153.16 × 39,765
  4. Step 4: Simplify right side
    73,299x = 4,022,355,407.40
  5. Step 5: Solve for x
    x = 4,022,355,407.40/73,299
  6. Step 6: Final answer
    x = 54,875.99

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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.