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Finding the Fourth Proportional to 103,581.80, 142,906.02 and 61,119.08

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Solution

The fourth proportional to 103,581.80, 142,906.02 and 61,119.08 is: 84,322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,581.80 : 142,906.02 = 61,119.08 : x
  2. Step 2: Convert to fraction form
    103,581.80/142,906.02 = 61,119.08/x
  3. Step 3: Cross multiply
    103,581.80x = 142,906.02 × 61,119.08
  4. Step 4: Simplify right side
    103,581.80x = 8,734,284,468.86
  5. Step 5: Solve for x
    x = 8,734,284,468.86/103,581.80
  6. Step 6: Final answer
    x = 84,322.58

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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.