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Finding the Fourth Proportional to 164,064.60, 245,440.80 and 142,121.70

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Solution

The fourth proportional to 164,064.60, 245,440.80 and 142,121.70 is: 212,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,064.60 : 245,440.80 = 142,121.70 : x
  2. Step 2: Convert to fraction form
    164,064.60/245,440.80 = 142,121.70/x
  3. Step 3: Cross multiply
    164,064.60x = 245,440.80 × 142,121.70
  4. Step 4: Simplify right side
    164,064.60x = 34,882,463,745.36
  5. Step 5: Solve for x
    x = 34,882,463,745.36/164,064.60
  6. Step 6: Final answer
    x = 212,614.20

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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.