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Finding the Fourth Proportional to 72,762.88, 100,412.38 and 40,932

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Solution

The fourth proportional to 72,762.88, 100,412.38 and 40,932 is: 56,485.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,762.88 : 100,412.38 = 40,932 : x
  2. Step 2: Convert to fraction form
    72,762.88/100,412.38 = 40,932/x
  3. Step 3: Cross multiply
    72,762.88x = 100,412.38 × 40,932
  4. Step 4: Simplify right side
    72,762.88x = 4,110,079,538.16
  5. Step 5: Solve for x
    x = 4,110,079,538.16/72,762.88
  6. Step 6: Final answer
    x = 56,485.94

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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.