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Finding the Fourth Proportional to 77,653.68, 107,164.44 and 45,849.84

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Solution

The fourth proportional to 77,653.68, 107,164.44 and 45,849.84 is: 63,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,653.68 : 107,164.44 = 45,849.84 : x
  2. Step 2: Convert to fraction form
    77,653.68/107,164.44 = 45,849.84/x
  3. Step 3: Cross multiply
    77,653.68x = 107,164.44 × 45,849.84
  4. Step 4: Simplify right side
    77,653.68x = 4,913,472,427.69
  5. Step 5: Solve for x
    x = 4,913,472,427.69/77,653.68
  6. Step 6: Final answer
    x = 63,274.17

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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.