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Finding the Fourth Proportional to 141,504.52, 195,274.84 and 77,842.40

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Solution

The fourth proportional to 141,504.52, 195,274.84 and 77,842.40 is: 107,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,504.52 : 195,274.84 = 77,842.40 : x
  2. Step 2: Convert to fraction form
    141,504.52/195,274.84 = 77,842.40/x
  3. Step 3: Cross multiply
    141,504.52x = 195,274.84 × 77,842.40
  4. Step 4: Simplify right side
    141,504.52x = 15,200,662,205.22
  5. Step 5: Solve for x
    x = 15,200,662,205.22/141,504.52
  6. Step 6: Final answer
    x = 107,421.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.