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Finding the Fourth Proportional to 98,289, 135,638.88 and 53,577

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Solution

The fourth proportional to 98,289, 135,638.88 and 53,577 is: 73,936.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,289 : 135,638.88 = 53,577 : x
  2. Step 2: Convert to fraction form
    98,289/135,638.88 = 53,577/x
  3. Step 3: Cross multiply
    98,289x = 135,638.88 × 53,577
  4. Step 4: Simplify right side
    98,289x = 7,267,124,273.76
  5. Step 5: Solve for x
    x = 7,267,124,273.76/98,289
  6. Step 6: Final answer
    x = 73,936.29

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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.