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Finding the Fourth Proportional to 140,745.60, 210,729.60 and 109,641.60

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Solution

The fourth proportional to 140,745.60, 210,729.60 and 109,641.60 is: 164,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,745.60 : 210,729.60 = 109,641.60 : x
  2. Step 2: Convert to fraction form
    140,745.60/210,729.60 = 109,641.60/x
  3. Step 3: Cross multiply
    140,745.60x = 210,729.60 × 109,641.60
  4. Step 4: Simplify right side
    140,745.60x = 23,104,730,511.36
  5. Step 5: Solve for x
    x = 23,104,730,511.36/140,745.60
  6. Step 6: Final answer
    x = 164,159.52

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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.