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Finding the Fourth Proportional to 73,004, 100,745.52 and 39,470

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Solution

The fourth proportional to 73,004, 100,745.52 and 39,470 is: 54,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,004 : 100,745.52 = 39,470 : x
  2. Step 2: Convert to fraction form
    73,004/100,745.52 = 39,470/x
  3. Step 3: Cross multiply
    73,004x = 100,745.52 × 39,470
  4. Step 4: Simplify right side
    73,004x = 3,976,425,674.40
  5. Step 5: Solve for x
    x = 3,976,425,674.40/73,004
  6. Step 6: Final answer
    x = 54,468.60

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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.