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Finding the Fourth Proportional to 98,878, 136,451.64 and 54,166

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Solution

The fourth proportional to 98,878, 136,451.64 and 54,166 is: 74,749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,878 : 136,451.64 = 54,166 : x
  2. Step 2: Convert to fraction form
    98,878/136,451.64 = 54,166/x
  3. Step 3: Cross multiply
    98,878x = 136,451.64 × 54,166
  4. Step 4: Simplify right side
    98,878x = 7,391,039,532.24
  5. Step 5: Solve for x
    x = 7,391,039,532.24/98,878
  6. Step 6: Final answer
    x = 74,749.08

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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.