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Finding the Fourth Proportional to 98,617, 136,091.46 and 53,905

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Solution

The fourth proportional to 98,617, 136,091.46 and 53,905 is: 74,388.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,617 : 136,091.46 = 53,905 : x
  2. Step 2: Convert to fraction form
    98,617/136,091.46 = 53,905/x
  3. Step 3: Cross multiply
    98,617x = 136,091.46 × 53,905
  4. Step 4: Simplify right side
    98,617x = 7,336,010,151.30
  5. Step 5: Solve for x
    x = 7,336,010,151.30/98,617
  6. Step 6: Final answer
    x = 74,388.90

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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.