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Finding the Fourth Proportional to 77,700, 107,243.64 and 55,015.36

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Solution

The fourth proportional to 77,700, 107,243.64 and 55,015.36 is: 75,933.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,700 : 107,243.64 = 55,015.36 : x
  2. Step 2: Convert to fraction form
    77,700/107,243.64 = 55,015.36/x
  3. Step 3: Cross multiply
    77,700x = 107,243.64 × 55,015.36
  4. Step 4: Simplify right side
    77,700x = 5,900,047,462.31
  5. Step 5: Solve for x
    x = 5,900,047,462.31/77,700
  6. Step 6: Final answer
    x = 75,933.69

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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.