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Finding the Fourth Proportional to 141,809.70, 212,714.55 and 78,824.10

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Solution

The fourth proportional to 141,809.70, 212,714.55 and 78,824.10 is: 118,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,809.70 : 212,714.55 = 78,824.10 : x
  2. Step 2: Convert to fraction form
    141,809.70/212,714.55 = 78,824.10/x
  3. Step 3: Cross multiply
    141,809.70x = 212,714.55 × 78,824.10
  4. Step 4: Simplify right side
    141,809.70x = 16,767,032,960.66
  5. Step 5: Solve for x
    x = 16,767,032,960.66/141,809.70
  6. Step 6: Final answer
    x = 118,236.15

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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.