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Finding the Fourth Proportional to 189,080.42, 260,927.60 and 103,040.15

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Solution

The fourth proportional to 189,080.42, 260,927.60 and 103,040.15 is: 142,193.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,080.42 : 260,927.60 = 103,040.15 : x
  2. Step 2: Convert to fraction form
    189,080.42/260,927.60 = 103,040.15/x
  3. Step 3: Cross multiply
    189,080.42x = 260,927.60 × 103,040.15
  4. Step 4: Simplify right side
    189,080.42x = 26,886,017,223.30
  5. Step 5: Solve for x
    x = 26,886,017,223.30/189,080.42
  6. Step 6: Final answer
    x = 142,193.56

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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.