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Finding the Fourth Proportional to 141,785.40, 212,415.70 and 82,649.40

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Solution

The fourth proportional to 141,785.40, 212,415.70 and 82,649.40 is: 123,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,785.40 : 212,415.70 = 82,649.40 : x
  2. Step 2: Convert to fraction form
    141,785.40/212,415.70 = 82,649.40/x
  3. Step 3: Cross multiply
    141,785.40x = 212,415.70 × 82,649.40
  4. Step 4: Simplify right side
    141,785.40x = 17,556,030,155.58
  5. Step 5: Solve for x
    x = 17,556,030,155.58/141,785.40
  6. Step 6: Final answer
    x = 123,821.14

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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.