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Finding the Fourth Proportional to 98,073, 135,342.90 and 53,361

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Solution

The fourth proportional to 98,073, 135,342.90 and 53,361 is: 73,639.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,073 : 135,342.90 = 53,361 : x
  2. Step 2: Convert to fraction form
    98,073/135,342.90 = 53,361/x
  3. Step 3: Cross multiply
    98,073x = 135,342.90 × 53,361
  4. Step 4: Simplify right side
    98,073x = 7,222,032,486.90
  5. Step 5: Solve for x
    x = 7,222,032,486.90/98,073
  6. Step 6: Final answer
    x = 73,639.36

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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.