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Finding the Fourth Proportional to 141,413, 212,108.40 and 82,210.88

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Solution

The fourth proportional to 141,413, 212,108.40 and 82,210.88 is: 123,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,413 : 212,108.40 = 82,210.88 : x
  2. Step 2: Convert to fraction form
    141,413/212,108.40 = 82,210.88/x
  3. Step 3: Cross multiply
    141,413x = 212,108.40 × 82,210.88
  4. Step 4: Simplify right side
    141,413x = 17,437,618,219.39
  5. Step 5: Solve for x
    x = 17,437,618,219.39/141,413
  6. Step 6: Final answer
    x = 123,309.87

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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.