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Finding the Fourth Proportional to 142,738.40, 214,109.40 and 67,866.32

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Solution

The fourth proportional to 142,738.40, 214,109.40 and 67,866.32 is: 101,800.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,738.40 : 214,109.40 = 67,866.32 : x
  2. Step 2: Convert to fraction form
    142,738.40/214,109.40 = 67,866.32/x
  3. Step 3: Cross multiply
    142,738.40x = 214,109.40 × 67,866.32
  4. Step 4: Simplify right side
    142,738.40x = 14,530,817,055.41
  5. Step 5: Solve for x
    x = 14,530,817,055.41/142,738.40
  6. Step 6: Final answer
    x = 101,800.34

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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.