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Finding the Fourth Proportional to 141,409, 195,148.98 and 77,751.40

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Solution

The fourth proportional to 141,409, 195,148.98 and 77,751.40 is: 107,299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,409 : 195,148.98 = 77,751.40 : x
  2. Step 2: Convert to fraction form
    141,409/195,148.98 = 77,751.40/x
  3. Step 3: Cross multiply
    141,409x = 195,148.98 × 77,751.40
  4. Step 4: Simplify right side
    141,409x = 15,173,106,403.57
  5. Step 5: Solve for x
    x = 15,173,106,403.57/141,409
  6. Step 6: Final answer
    x = 107,299.44

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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.