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Finding the Fourth Proportional to 142,898.70, 197,209.40 and 82,471.89

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Solution

The fourth proportional to 142,898.70, 197,209.40 and 82,471.89 is: 113,816.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,898.70 : 197,209.40 = 82,471.89 : x
  2. Step 2: Convert to fraction form
    142,898.70/197,209.40 = 82,471.89/x
  3. Step 3: Cross multiply
    142,898.70x = 197,209.40 × 82,471.89
  4. Step 4: Simplify right side
    142,898.70x = 16,264,231,531.41
  5. Step 5: Solve for x
    x = 16,264,231,531.41/142,898.70
  6. Step 6: Final answer
    x = 113,816.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.