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Finding the Fourth Proportional to 142,100.40, 213,323.40 and 106,762.80

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Solution

The fourth proportional to 142,100.40, 213,323.40 and 106,762.80 is: 160,274.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,100.40 : 213,323.40 = 106,762.80 : x
  2. Step 2: Convert to fraction form
    142,100.40/213,323.40 = 106,762.80/x
  3. Step 3: Cross multiply
    142,100.40x = 213,323.40 × 106,762.80
  4. Step 4: Simplify right side
    142,100.40x = 22,775,003,489.52
  5. Step 5: Solve for x
    x = 22,775,003,489.52/142,100.40
  6. Step 6: Final answer
    x = 160,274.03

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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.