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Finding the Fourth Proportional to 72,702.30, 100,329.34 and 40,871.46

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Solution

The fourth proportional to 72,702.30, 100,329.34 and 40,871.46 is: 56,402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,702.30 : 100,329.34 = 40,871.46 : x
  2. Step 2: Convert to fraction form
    72,702.30/100,329.34 = 40,871.46/x
  3. Step 3: Cross multiply
    72,702.30x = 100,329.34 × 40,871.46
  4. Step 4: Simplify right side
    72,702.30x = 4,100,606,606.64
  5. Step 5: Solve for x
    x = 4,100,606,606.64/72,702.30
  6. Step 6: Final answer
    x = 56,402.71

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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.