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Finding the Fourth Proportional to 101,533.50, 140,116.23 and 56,821.50

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Solution

The fourth proportional to 101,533.50, 140,116.23 and 56,821.50 is: 78,413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,533.50 : 140,116.23 = 56,821.50 : x
  2. Step 2: Convert to fraction form
    101,533.50/140,116.23 = 56,821.50/x
  3. Step 3: Cross multiply
    101,533.50x = 140,116.23 × 56,821.50
  4. Step 4: Simplify right side
    101,533.50x = 7,961,614,362.95
  5. Step 5: Solve for x
    x = 7,961,614,362.95/101,533.50
  6. Step 6: Final answer
    x = 78,413.67

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1.5x scale

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.