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Finding the Fourth Proportional to 73,047, 100,804.95 and 39,513

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Solution

The fourth proportional to 73,047, 100,804.95 and 39,513 is: 54,527.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,047 : 100,804.95 = 39,513 : x
  2. Step 2: Convert to fraction form
    73,047/100,804.95 = 39,513/x
  3. Step 3: Cross multiply
    73,047x = 100,804.95 × 39,513
  4. Step 4: Simplify right side
    73,047x = 3,983,105,989.35
  5. Step 5: Solve for x
    x = 3,983,105,989.35/73,047
  6. Step 6: Final answer
    x = 54,527.99

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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.