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Finding the Fourth Proportional to 77,969.88, 107,486.46 and 55,575

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Solution

The fourth proportional to 77,969.88, 107,486.46 and 55,575 is: 76,613.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,969.88 : 107,486.46 = 55,575 : x
  2. Step 2: Convert to fraction form
    77,969.88/107,486.46 = 55,575/x
  3. Step 3: Cross multiply
    77,969.88x = 107,486.46 × 55,575
  4. Step 4: Simplify right side
    77,969.88x = 5,973,560,014.50
  5. Step 5: Solve for x
    x = 5,973,560,014.50/77,969.88
  6. Step 6: Final answer
    x = 76,613.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.