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Finding the Fourth Proportional to 115,343.60, 172,829.10 and 65,274.80

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Solution

The fourth proportional to 115,343.60, 172,829.10 and 65,274.80 is: 97,806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,343.60 : 172,829.10 = 65,274.80 : x
  2. Step 2: Convert to fraction form
    115,343.60/172,829.10 = 65,274.80/x
  3. Step 3: Cross multiply
    115,343.60x = 172,829.10 × 65,274.80
  4. Step 4: Simplify right side
    115,343.60x = 11,281,384,936.68
  5. Step 5: Solve for x
    x = 11,281,384,936.68/115,343.60
  6. Step 6: Final answer
    x = 97,806.77

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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.