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Finding the Fourth Proportional to 189,103.40, 260,959.32 and 103,063.16

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Solution

The fourth proportional to 189,103.40, 260,959.32 and 103,063.16 is: 142,225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,103.40 : 260,959.32 = 103,063.16 : x
  2. Step 2: Convert to fraction form
    189,103.40/260,959.32 = 103,063.16/x
  3. Step 3: Cross multiply
    189,103.40x = 260,959.32 × 103,063.16
  4. Step 4: Simplify right side
    189,103.40x = 26,895,292,150.65
  5. Step 5: Solve for x
    x = 26,895,292,150.65/189,103.40
  6. Step 6: Final answer
    x = 142,225.32

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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.