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Finding the Fourth Proportional to 86,961.97, 130,205.79 and 65,838.10

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Solution

The fourth proportional to 86,961.97, 130,205.79 and 65,838.10 is: 98,577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,961.97 : 130,205.79 = 65,838.10 : x
  2. Step 2: Convert to fraction form
    86,961.97/130,205.79 = 65,838.10/x
  3. Step 3: Cross multiply
    86,961.97x = 130,205.79 × 65,838.10
  4. Step 4: Simplify right side
    86,961.97x = 8,572,501,822.60
  5. Step 5: Solve for x
    x = 8,572,501,822.60/86,961.97
  6. Step 6: Final answer
    x = 98,577.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.