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Finding the Fourth Proportional to 145,812.60, 218,949.30 and 106,644.60

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Solution

The fourth proportional to 145,812.60, 218,949.30 and 106,644.60 is: 160,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,812.60 : 218,949.30 = 106,644.60 : x
  2. Step 2: Convert to fraction form
    145,812.60/218,949.30 = 106,644.60/x
  3. Step 3: Cross multiply
    145,812.60x = 218,949.30 × 106,644.60
  4. Step 4: Simplify right side
    145,812.60x = 23,349,760,518.78
  5. Step 5: Solve for x
    x = 23,349,760,518.78/145,812.60
  6. Step 6: Final answer
    x = 160,135.41

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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.