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Finding the Fourth Proportional to 103,705, 155,580.54 and 38,041

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Solution

The fourth proportional to 103,705, 155,580.54 and 38,041 is: 57,069.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,705 : 155,580.54 = 38,041 : x
  2. Step 2: Convert to fraction form
    103,705/155,580.54 = 38,041/x
  3. Step 3: Cross multiply
    103,705x = 155,580.54 × 38,041
  4. Step 4: Simplify right side
    103,705x = 5,918,439,322.14
  5. Step 5: Solve for x
    x = 5,918,439,322.14/103,705
  6. Step 6: Final answer
    x = 57,069.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.