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Finding the Fourth Proportional to 86,232.92, 118,978.08 and 50,431.76

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Solution

The fourth proportional to 86,232.92, 118,978.08 and 50,431.76 is: 69,582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,232.92 : 118,978.08 = 50,431.76 : x
  2. Step 2: Convert to fraction form
    86,232.92/118,978.08 = 50,431.76/x
  3. Step 3: Cross multiply
    86,232.92x = 118,978.08 × 50,431.76
  4. Step 4: Simplify right side
    86,232.92x = 6,000,273,975.82
  5. Step 5: Solve for x
    x = 6,000,273,975.82/86,232.92
  6. Step 6: Final answer
    x = 69,582.17

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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.