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Finding the Fourth Proportional to 149,336.76, 205,970.88 and 101,509.48

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Solution

The fourth proportional to 149,336.76, 205,970.88 and 101,509.48 is: 140,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,336.76 : 205,970.88 = 101,509.48 : x
  2. Step 2: Convert to fraction form
    149,336.76/205,970.88 = 101,509.48/x
  3. Step 3: Cross multiply
    149,336.76x = 205,970.88 × 101,509.48
  4. Step 4: Simplify right side
    149,336.76x = 20,907,996,923.94
  5. Step 5: Solve for x
    x = 20,907,996,923.94/149,336.76
  6. Step 6: Final answer
    x = 140,005.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.