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Finding the Fourth Proportional to 99,411, 137,190.06 and 54,699

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Solution

The fourth proportional to 99,411, 137,190.06 and 54,699 is: 75,486.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,411 : 137,190.06 = 54,699 : x
  2. Step 2: Convert to fraction form
    99,411/137,190.06 = 54,699/x
  3. Step 3: Cross multiply
    99,411x = 137,190.06 × 54,699
  4. Step 4: Simplify right side
    99,411x = 7,504,159,091.94
  5. Step 5: Solve for x
    x = 7,504,159,091.94/99,411
  6. Step 6: Final answer
    x = 75,486.20

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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.