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Finding the Fourth Proportional to 141,633, 212,449.50 and 43,137

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Solution

The fourth proportional to 141,633, 212,449.50 and 43,137 is: 64,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,633 : 212,449.50 = 43,137 : x
  2. Step 2: Convert to fraction form
    141,633/212,449.50 = 43,137/x
  3. Step 3: Cross multiply
    141,633x = 212,449.50 × 43,137
  4. Step 4: Simplify right side
    141,633x = 9,164,434,081.50
  5. Step 5: Solve for x
    x = 9,164,434,081.50/141,633
  6. Step 6: Final answer
    x = 64,705.50

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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.