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Finding the Fourth Proportional to 189,475, 261,470.46 and 104,590.24

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Solution

The fourth proportional to 189,475, 261,470.46 and 104,590.24 is: 144,331.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,475 : 261,470.46 = 104,590.24 : x
  2. Step 2: Convert to fraction form
    189,475/261,470.46 = 104,590.24/x
  3. Step 3: Cross multiply
    189,475x = 261,470.46 × 104,590.24
  4. Step 4: Simplify right side
    189,475x = 27,347,258,164.31
  5. Step 5: Solve for x
    x = 27,347,258,164.31/189,475
  6. Step 6: Final answer
    x = 144,331.75

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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.