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Finding the Fourth Proportional to 65,130.71, 97,696.06 and 18,383.58

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Solution

The fourth proportional to 65,130.71, 97,696.06 and 18,383.58 is: 27,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,130.71 : 97,696.06 = 18,383.58 : x
  2. Step 2: Convert to fraction form
    65,130.71/97,696.06 = 18,383.58/x
  3. Step 3: Cross multiply
    65,130.71x = 97,696.06 × 18,383.58
  4. Step 4: Simplify right side
    65,130.71x = 1,796,003,288.74
  5. Step 5: Solve for x
    x = 1,796,003,288.74/65,130.71
  6. Step 6: Final answer
    x = 27,575.37

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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.