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Finding the Fourth Proportional to 141,848, 195,751.55 and 78,188.07

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Solution

The fourth proportional to 141,848, 195,751.55 and 78,188.07 is: 107,900.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,848 : 195,751.55 = 78,188.07 : x
  2. Step 2: Convert to fraction form
    141,848/195,751.55 = 78,188.07/x
  3. Step 3: Cross multiply
    141,848x = 195,751.55 × 78,188.07
  4. Step 4: Simplify right side
    141,848x = 15,305,435,894.01
  5. Step 5: Solve for x
    x = 15,305,435,894.01/141,848
  6. Step 6: Final answer
    x = 107,900.26

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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.