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Finding the Fourth Proportional to 72,570.85, 100,142.24 and 40,733.60

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Solution

The fourth proportional to 72,570.85, 100,142.24 and 40,733.60 is: 56,209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,570.85 : 100,142.24 = 40,733.60 : x
  2. Step 2: Convert to fraction form
    72,570.85/100,142.24 = 40,733.60/x
  3. Step 3: Cross multiply
    72,570.85x = 100,142.24 × 40,733.60
  4. Step 4: Simplify right side
    72,570.85x = 4,079,153,472.01
  5. Step 5: Solve for x
    x = 4,079,153,472.01/72,570.85
  6. Step 6: Final answer
    x = 56,209.26

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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.