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Finding the Fourth Proportional to 141,699, 195,544.64 and 78,036.68

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Solution

The fourth proportional to 141,699, 195,544.64 and 78,036.68 is: 107,690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,699 : 195,544.64 = 78,036.68 : x
  2. Step 2: Convert to fraction form
    141,699/195,544.64 = 78,036.68/x
  3. Step 3: Cross multiply
    141,699x = 195,544.64 × 78,036.68
  4. Step 4: Simplify right side
    141,699x = 15,259,654,497.40
  5. Step 5: Solve for x
    x = 15,259,654,497.40/141,699
  6. Step 6: Final answer
    x = 107,690.63

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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.