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Finding the Fourth Proportional to 142,772.79, 214,008.48 and 47,913.03

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Solution

The fourth proportional to 142,772.79, 214,008.48 and 47,913.03 is: 71,818.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,772.79 : 214,008.48 = 47,913.03 : x
  2. Step 2: Convert to fraction form
    142,772.79/214,008.48 = 47,913.03/x
  3. Step 3: Cross multiply
    142,772.79x = 214,008.48 × 47,913.03
  4. Step 4: Simplify right side
    142,772.79x = 10,253,794,722.49
  5. Step 5: Solve for x
    x = 10,253,794,722.49/142,772.79
  6. Step 6: Final answer
    x = 71,818.97

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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.