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Finding the Fourth Proportional to 72,742.77, 100,384.20 and 40,477.23

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Solution

The fourth proportional to 72,742.77, 100,384.20 and 40,477.23 is: 55,858.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,742.77 : 100,384.20 = 40,477.23 : x
  2. Step 2: Convert to fraction form
    72,742.77/100,384.20 = 40,477.23/x
  3. Step 3: Cross multiply
    72,742.77x = 100,384.20 × 40,477.23
  4. Step 4: Simplify right side
    72,742.77x = 4,063,274,351.77
  5. Step 5: Solve for x
    x = 4,063,274,351.77/72,742.77
  6. Step 6: Final answer
    x = 55,858.12

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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.