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Finding the Fourth Proportional to 141,834, 212,787.46 and 53,088.78

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Solution

The fourth proportional to 141,834, 212,787.46 and 53,088.78 is: 79,646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,834 : 212,787.46 = 53,088.78 : x
  2. Step 2: Convert to fraction form
    141,834/212,787.46 = 53,088.78/x
  3. Step 3: Cross multiply
    141,834x = 212,787.46 × 53,088.78
  4. Step 4: Simplify right side
    141,834x = 11,296,626,650.70
  5. Step 5: Solve for x
    x = 11,296,626,650.70/141,834
  6. Step 6: Final answer
    x = 79,646.82

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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.