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Finding the Fourth Proportional to 78,595.31, 117,911.42 and 26,004.80

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Solution

The fourth proportional to 78,595.31, 117,911.42 and 26,004.80 is: 39,013.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,595.31 : 117,911.42 = 26,004.80 : x
  2. Step 2: Convert to fraction form
    78,595.31/117,911.42 = 26,004.80/x
  3. Step 3: Cross multiply
    78,595.31x = 117,911.42 × 26,004.80
  4. Step 4: Simplify right side
    78,595.31x = 3,066,262,566.98
  5. Step 5: Solve for x
    x = 3,066,262,566.98/78,595.31
  6. Step 6: Final answer
    x = 39,013.30

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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.