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Finding the Fourth Proportional to 73,119, 100,904.24 and 39,585

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Solution

The fourth proportional to 73,119, 100,904.24 and 39,585 is: 54,627.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,119 : 100,904.24 = 39,585 : x
  2. Step 2: Convert to fraction form
    73,119/100,904.24 = 39,585/x
  3. Step 3: Cross multiply
    73,119x = 100,904.24 × 39,585
  4. Step 4: Simplify right side
    73,119x = 3,994,294,142.48
  5. Step 5: Solve for x
    x = 3,994,294,142.48/73,119
  6. Step 6: Final answer
    x = 54,627.31

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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.