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Finding the Fourth Proportional to 101,683.76, 140,317.56 and 56,970.80

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Solution

The fourth proportional to 101,683.76, 140,317.56 and 56,970.80 is: 78,616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,683.76 : 140,317.56 = 56,970.80 : x
  2. Step 2: Convert to fraction form
    101,683.76/140,317.56 = 56,970.80/x
  3. Step 3: Cross multiply
    101,683.76x = 140,317.56 × 56,970.80
  4. Step 4: Simplify right side
    101,683.76x = 7,994,003,647.25
  5. Step 5: Solve for x
    x = 7,994,003,647.25/101,683.76
  6. Step 6: Final answer
    x = 78,616.33

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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.