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Finding the Fourth Proportional to 78,673.64, 117,984.94 and 26,069

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Solution

The fourth proportional to 78,673.64, 117,984.94 and 26,069 is: 39,095.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,673.64 : 117,984.94 = 26,069 : x
  2. Step 2: Convert to fraction form
    78,673.64/117,984.94 = 26,069/x
  3. Step 3: Cross multiply
    78,673.64x = 117,984.94 × 26,069
  4. Step 4: Simplify right side
    78,673.64x = 3,075,749,400.86
  5. Step 5: Solve for x
    x = 3,075,749,400.86/78,673.64
  6. Step 6: Final answer
    x = 39,095.04

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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.