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Finding the Fourth Proportional to 77,315.51, 115,936.72 and 29,952.79

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Solution

The fourth proportional to 77,315.51, 115,936.72 and 29,952.79 is: 44,915.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,315.51 : 115,936.72 = 29,952.79 : x
  2. Step 2: Convert to fraction form
    77,315.51/115,936.72 = 29,952.79/x
  3. Step 3: Cross multiply
    77,315.51x = 115,936.72 × 29,952.79
  4. Step 4: Simplify right side
    77,315.51x = 3,472,628,227.45
  5. Step 5: Solve for x
    x = 3,472,628,227.45/77,315.51
  6. Step 6: Final answer
    x = 44,915.03

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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.