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Finding the Fourth Proportional to 100,683.86, 138,944.25 and 55,364.77

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Solution

The fourth proportional to 100,683.86, 138,944.25 and 55,364.77 is: 76,403.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,683.86 : 138,944.25 = 55,364.77 : x
  2. Step 2: Convert to fraction form
    100,683.86/138,944.25 = 55,364.77/x
  3. Step 3: Cross multiply
    100,683.86x = 138,944.25 × 55,364.77
  4. Step 4: Simplify right side
    100,683.86x = 7,692,616,444.07
  5. Step 5: Solve for x
    x = 7,692,616,444.07/100,683.86
  6. Step 6: Final answer
    x = 76,403.67

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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.