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Finding the Fourth Proportional to 141,878.99, 195,794.52 and 78,219.07

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Solution

The fourth proportional to 141,878.99, 195,794.52 and 78,219.07 is: 107,943.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,878.99 : 195,794.52 = 78,219.07 : x
  2. Step 2: Convert to fraction form
    141,878.99/195,794.52 = 78,219.07/x
  3. Step 3: Cross multiply
    141,878.99x = 195,794.52 × 78,219.07
  4. Step 4: Simplify right side
    141,878.99x = 15,314,865,265.50
  5. Step 5: Solve for x
    x = 15,314,865,265.50/141,878.99
  6. Step 6: Final answer
    x = 107,943.15

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1.5x scale

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.