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Finding the Fourth Proportional to 98,015.76, 135,204.66 and 71,127

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Solution

The fourth proportional to 98,015.76, 135,204.66 and 71,127 is: 98,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,015.76 : 135,204.66 = 71,127 : x
  2. Step 2: Convert to fraction form
    98,015.76/135,204.66 = 71,127/x
  3. Step 3: Cross multiply
    98,015.76x = 135,204.66 × 71,127
  4. Step 4: Simplify right side
    98,015.76x = 9,616,701,851.82
  5. Step 5: Solve for x
    x = 9,616,701,851.82/98,015.76
  6. Step 6: Final answer
    x = 98,113.83

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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.