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Finding the Fourth Proportional to 189,068.28, 260,920.80 and 103,034.31

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Solution

The fourth proportional to 189,068.28, 260,920.80 and 103,034.31 is: 142,190.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,068.28 : 260,920.80 = 103,034.31 : x
  2. Step 2: Convert to fraction form
    189,068.28/260,920.80 = 103,034.31/x
  3. Step 3: Cross multiply
    189,068.28x = 260,920.80 × 103,034.31
  4. Step 4: Simplify right side
    189,068.28x = 26,883,794,592.65
  5. Step 5: Solve for x
    x = 26,883,794,592.65/189,068.28
  6. Step 6: Final answer
    x = 142,190.93

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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.