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Finding the Fourth Proportional to 78,684.81, 118,062.11 and 41,235.98

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Solution

The fourth proportional to 78,684.81, 118,062.11 and 41,235.98 is: 61,872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,684.81 : 118,062.11 = 41,235.98 : x
  2. Step 2: Convert to fraction form
    78,684.81/118,062.11 = 41,235.98/x
  3. Step 3: Cross multiply
    78,684.81x = 118,062.11 × 41,235.98
  4. Step 4: Simplify right side
    78,684.81x = 4,868,406,600.54
  5. Step 5: Solve for x
    x = 4,868,406,600.54/78,684.81
  6. Step 6: Final answer
    x = 61,872.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.