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Finding the Fourth Proportional to 55,967.88, 77,238.90 and 30,817.80

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Solution

The fourth proportional to 55,967.88, 77,238.90 and 30,817.80 is: 42,530.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,967.88 : 77,238.90 = 30,817.80 : x
  2. Step 2: Convert to fraction form
    55,967.88/77,238.90 = 30,817.80/x
  3. Step 3: Cross multiply
    55,967.88x = 77,238.90 × 30,817.80
  4. Step 4: Simplify right side
    55,967.88x = 2,380,332,972.42
  5. Step 5: Solve for x
    x = 2,380,332,972.42/55,967.88
  6. Step 6: Final answer
    x = 42,530.34

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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.