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Finding the Fourth Proportional to 77,970.88, 107,487.84 and 55,576

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Solution

The fourth proportional to 77,970.88, 107,487.84 and 55,576 is: 76,615.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,970.88 : 107,487.84 = 55,576 : x
  2. Step 2: Convert to fraction form
    77,970.88/107,487.84 = 55,576/x
  3. Step 3: Cross multiply
    77,970.88x = 107,487.84 × 55,576
  4. Step 4: Simplify right side
    77,970.88x = 5,973,744,195.84
  5. Step 5: Solve for x
    x = 5,973,744,195.84/77,970.88
  6. Step 6: Final answer
    x = 76,615.07

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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.