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Finding the Fourth Proportional to 89,106, 122,966.28 and 49,369.68

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Solution

The fourth proportional to 89,106, 122,966.28 and 49,369.68 is: 68,130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,106 : 122,966.28 = 49,369.68 : x
  2. Step 2: Convert to fraction form
    89,106/122,966.28 = 49,369.68/x
  3. Step 3: Cross multiply
    89,106x = 122,966.28 × 49,369.68
  4. Step 4: Simplify right side
    89,106x = 6,070,805,894.39
  5. Step 5: Solve for x
    x = 6,070,805,894.39/89,106
  6. Step 6: Final answer
    x = 68,130.16

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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.