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Finding the Fourth Proportional to 98,610, 136,083.96 and 53,898

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Solution

The fourth proportional to 98,610, 136,083.96 and 53,898 is: 74,380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,610 : 136,083.96 = 53,898 : x
  2. Step 2: Convert to fraction form
    98,610/136,083.96 = 53,898/x
  3. Step 3: Cross multiply
    98,610x = 136,083.96 × 53,898
  4. Step 4: Simplify right side
    98,610x = 7,334,653,276.08
  5. Step 5: Solve for x
    x = 7,334,653,276.08/98,610
  6. Step 6: Final answer
    x = 74,380.42

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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.