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Finding the Fourth Proportional to 78,670.64, 117,980.44 and 26,066

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Solution

The fourth proportional to 78,670.64, 117,980.44 and 26,066 is: 39,090.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,670.64 : 117,980.44 = 26,066 : x
  2. Step 2: Convert to fraction form
    78,670.64/117,980.44 = 26,066/x
  3. Step 3: Cross multiply
    78,670.64x = 117,980.44 × 26,066
  4. Step 4: Simplify right side
    78,670.64x = 3,075,278,149.04
  5. Step 5: Solve for x
    x = 3,075,278,149.04/78,670.64
  6. Step 6: Final answer
    x = 39,090.54

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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.