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Finding the Fourth Proportional to 78,578, 117,888.64 and 23,174

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Solution

The fourth proportional to 78,578, 117,888.64 and 23,174 is: 34,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,578 : 117,888.64 = 23,174 : x
  2. Step 2: Convert to fraction form
    78,578/117,888.64 = 23,174/x
  3. Step 3: Cross multiply
    78,578x = 117,888.64 × 23,174
  4. Step 4: Simplify right side
    78,578x = 2,731,951,343.36
  5. Step 5: Solve for x
    x = 2,731,951,343.36/78,578
  6. Step 6: Final answer
    x = 34,767.38

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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.