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Finding the Fourth Proportional to 72,830.21, 100,510.79 and 40,567.41

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Solution

The fourth proportional to 72,830.21, 100,510.79 and 40,567.41 is: 55,985.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,830.21 : 100,510.79 = 40,567.41 : x
  2. Step 2: Convert to fraction form
    72,830.21/100,510.79 = 40,567.41/x
  3. Step 3: Cross multiply
    72,830.21x = 100,510.79 × 40,567.41
  4. Step 4: Simplify right side
    72,830.21x = 4,077,462,224.52
  5. Step 5: Solve for x
    x = 4,077,462,224.52/72,830.21
  6. Step 6: Final answer
    x = 55,985.87

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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.