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Finding the Fourth Proportional to 186,967, 258,015.72 and 102,085.12

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Solution

The fourth proportional to 186,967, 258,015.72 and 102,085.12 is: 140,878.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,967 : 258,015.72 = 102,085.12 : x
  2. Step 2: Convert to fraction form
    186,967/258,015.72 = 102,085.12/x
  3. Step 3: Cross multiply
    186,967x = 258,015.72 × 102,085.12
  4. Step 4: Simplify right side
    186,967x = 26,339,565,738.09
  5. Step 5: Solve for x
    x = 26,339,565,738.09/186,967
  6. Step 6: Final answer
    x = 140,878.15

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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.