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Finding the Fourth Proportional to 73,681.86, 101,681.73 and 40,147.86

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Solution

The fourth proportional to 73,681.86, 101,681.73 and 40,147.86 is: 55,404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,681.86 : 101,681.73 = 40,147.86 : x
  2. Step 2: Convert to fraction form
    73,681.86/101,681.73 = 40,147.86/x
  3. Step 3: Cross multiply
    73,681.86x = 101,681.73 × 40,147.86
  4. Step 4: Simplify right side
    73,681.86x = 4,082,303,860.60
  5. Step 5: Solve for x
    x = 4,082,303,860.60/73,681.86
  6. Step 6: Final answer
    x = 55,404.46

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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.