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Finding the Fourth Proportional to 141,805.70, 212,708.55 and 78,820.10

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Solution

The fourth proportional to 141,805.70, 212,708.55 and 78,820.10 is: 118,230.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,805.70 : 212,708.55 = 78,820.10 : x
  2. Step 2: Convert to fraction form
    141,805.70/212,708.55 = 78,820.10/x
  3. Step 3: Cross multiply
    141,805.70x = 212,708.55 × 78,820.10
  4. Step 4: Simplify right side
    141,805.70x = 16,765,709,181.86
  5. Step 5: Solve for x
    x = 16,765,709,181.86/141,805.70
  6. Step 6: Final answer
    x = 118,230.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.