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Finding the Fourth Proportional to 45,710.88, 68,509.92 and 20,743.84

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Solution

The fourth proportional to 45,710.88, 68,509.92 and 20,743.84 is: 31,090.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,710.88 : 68,509.92 = 20,743.84 : x
  2. Step 2: Convert to fraction form
    45,710.88/68,509.92 = 20,743.84/x
  3. Step 3: Cross multiply
    45,710.88x = 68,509.92 × 20,743.84
  4. Step 4: Simplify right side
    45,710.88x = 1,421,158,818.89
  5. Step 5: Solve for x
    x = 1,421,158,818.89/45,710.88
  6. Step 6: Final answer
    x = 31,090.17

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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.