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Finding the Fourth Proportional to 141,408, 195,147.60 and 77,750.40

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Solution

The fourth proportional to 141,408, 195,147.60 and 77,750.40 is: 107,298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,408 : 195,147.60 = 77,750.40 : x
  2. Step 2: Convert to fraction form
    141,408/195,147.60 = 77,750.40/x
  3. Step 3: Cross multiply
    141,408x = 195,147.60 × 77,750.40
  4. Step 4: Simplify right side
    141,408x = 15,172,803,959.04
  5. Step 5: Solve for x
    x = 15,172,803,959.04/141,408
  6. Step 6: Final answer
    x = 107,298.06

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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.