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Finding the Fourth Proportional to 72,675.18, 100,291.14 and 40,843.98

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Solution

The fourth proportional to 72,675.18, 100,291.14 and 40,843.98 is: 56,364.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,675.18 : 100,291.14 = 40,843.98 : x
  2. Step 2: Convert to fraction form
    72,675.18/100,291.14 = 40,843.98/x
  3. Step 3: Cross multiply
    72,675.18x = 100,291.14 × 40,843.98
  4. Step 4: Simplify right side
    72,675.18x = 4,096,289,316.34
  5. Step 5: Solve for x
    x = 4,096,289,316.34/72,675.18
  6. Step 6: Final answer
    x = 56,364.35

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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.