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Finding the Fourth Proportional to 146,825.98, 202,659.87 and 86,416

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Solution

The fourth proportional to 146,825.98, 202,659.87 and 86,416 is: 119,277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,825.98 : 202,659.87 = 86,416 : x
  2. Step 2: Convert to fraction form
    146,825.98/202,659.87 = 86,416/x
  3. Step 3: Cross multiply
    146,825.98x = 202,659.87 × 86,416
  4. Step 4: Simplify right side
    146,825.98x = 17,513,055,325.92
  5. Step 5: Solve for x
    x = 17,513,055,325.92/146,825.98
  6. Step 6: Final answer
    x = 119,277.63

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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.