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Finding the Fourth Proportional to 189,872.32, 262,020 and 104,987.20

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Solution

The fourth proportional to 189,872.32, 262,020 and 104,987.20 is: 144,880.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,872.32 : 262,020 = 104,987.20 : x
  2. Step 2: Convert to fraction form
    189,872.32/262,020 = 104,987.20/x
  3. Step 3: Cross multiply
    189,872.32x = 262,020 × 104,987.20
  4. Step 4: Simplify right side
    189,872.32x = 27,508,746,144
  5. Step 5: Solve for x
    x = 27,508,746,144/189,872.32
  6. Step 6: Final answer
    x = 144,880.23

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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.