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Finding the Fourth Proportional to 99,158, 136,838.04 and 54,446

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Solution

The fourth proportional to 99,158, 136,838.04 and 54,446 is: 75,135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,158 : 136,838.04 = 54,446 : x
  2. Step 2: Convert to fraction form
    99,158/136,838.04 = 54,446/x
  3. Step 3: Cross multiply
    99,158x = 136,838.04 × 54,446
  4. Step 4: Simplify right side
    99,158x = 7,450,283,925.84
  5. Step 5: Solve for x
    x = 7,450,283,925.84/99,158
  6. Step 6: Final answer
    x = 75,135.48

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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.