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Finding the Fourth Proportional to 100,588.14, 138,811.08 and 54,647.40

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Solution

The fourth proportional to 100,588.14, 138,811.08 and 54,647.40 is: 75,413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,588.14 : 138,811.08 = 54,647.40 : x
  2. Step 2: Convert to fraction form
    100,588.14/138,811.08 = 54,647.40/x
  3. Step 3: Cross multiply
    100,588.14x = 138,811.08 × 54,647.40
  4. Step 4: Simplify right side
    100,588.14x = 7,585,664,613.19
  5. Step 5: Solve for x
    x = 7,585,664,613.19/100,588.14
  6. Step 6: Final answer
    x = 75,413.11

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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.