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Finding the Fourth Proportional to 64,778, 97,167 and 18,032.09

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Solution

The fourth proportional to 64,778, 97,167 and 18,032.09 is: 27,048.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,778 : 97,167 = 18,032.09 : x
  2. Step 2: Convert to fraction form
    64,778/97,167 = 18,032.09/x
  3. Step 3: Cross multiply
    64,778x = 97,167 × 18,032.09
  4. Step 4: Simplify right side
    64,778x = 1,752,124,089.03
  5. Step 5: Solve for x
    x = 1,752,124,089.03/64,778
  6. Step 6: Final answer
    x = 27,048.14

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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.