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Finding the Fourth Proportional to 101,652.50, 140,280.46 and 56,940.50

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Solution

The fourth proportional to 101,652.50, 140,280.46 and 56,940.50 is: 78,577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,652.50 : 140,280.46 = 56,940.50 : x
  2. Step 2: Convert to fraction form
    101,652.50/140,280.46 = 56,940.50/x
  3. Step 3: Cross multiply
    101,652.50x = 140,280.46 × 56,940.50
  4. Step 4: Simplify right side
    101,652.50x = 7,987,639,532.63
  5. Step 5: Solve for x
    x = 7,987,639,532.63/101,652.50
  6. Step 6: Final answer
    x = 78,577.90

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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.