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Finding the Fourth Proportional to 189,094.30, 260,945.32 and 103,055.49

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Solution

The fourth proportional to 189,094.30, 260,945.32 and 103,055.49 is: 142,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,094.30 : 260,945.32 = 103,055.49 : x
  2. Step 2: Convert to fraction form
    189,094.30/260,945.32 = 103,055.49/x
  3. Step 3: Cross multiply
    189,094.30x = 260,945.32 × 103,055.49
  4. Step 4: Simplify right side
    189,094.30x = 26,891,847,815.81
  5. Step 5: Solve for x
    x = 26,891,847,815.81/189,094.30
  6. Step 6: Final answer
    x = 142,213.95

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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.