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Finding the Fourth Proportional to 98,623, 136,099.74 and 53,911

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Solution

The fourth proportional to 98,623, 136,099.74 and 53,911 is: 74,397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,623 : 136,099.74 = 53,911 : x
  2. Step 2: Convert to fraction form
    98,623/136,099.74 = 53,911/x
  3. Step 3: Cross multiply
    98,623x = 136,099.74 × 53,911
  4. Step 4: Simplify right side
    98,623x = 7,337,273,083.14
  5. Step 5: Solve for x
    x = 7,337,273,083.14/98,623
  6. Step 6: Final answer
    x = 74,397.18

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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.