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Finding the Fourth Proportional to 141,698.08, 195,541 and 78,041.80

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Solution

The fourth proportional to 141,698.08, 195,541 and 78,041.80 is: 107,696.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,698.08 : 195,541 = 78,041.80 : x
  2. Step 2: Convert to fraction form
    141,698.08/195,541 = 78,041.80/x
  3. Step 3: Cross multiply
    141,698.08x = 195,541 × 78,041.80
  4. Step 4: Simplify right side
    141,698.08x = 15,260,371,613.80
  5. Step 5: Solve for x
    x = 15,260,371,613.80/141,698.08
  6. Step 6: Final answer
    x = 107,696.39

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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.