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Finding the Fourth Proportional to 99,968.40, 137,960.10 and 54,649.40

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Solution

The fourth proportional to 99,968.40, 137,960.10 and 54,649.40 is: 75,418.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,968.40 : 137,960.10 = 54,649.40 : x
  2. Step 2: Convert to fraction form
    99,968.40/137,960.10 = 54,649.40/x
  3. Step 3: Cross multiply
    99,968.40x = 137,960.10 × 54,649.40
  4. Step 4: Simplify right side
    99,968.40x = 7,539,435,999.14
  5. Step 5: Solve for x
    x = 7,539,435,999.14/99,968.40
  6. Step 6: Final answer
    x = 75,418.19

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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.