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Finding the Fourth Proportional to 56,726, 85,089.72 and 19,790

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Solution

The fourth proportional to 56,726, 85,089.72 and 19,790 is: 29,685.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,726 : 85,089.72 = 19,790 : x
  2. Step 2: Convert to fraction form
    56,726/85,089.72 = 19,790/x
  3. Step 3: Cross multiply
    56,726x = 85,089.72 × 19,790
  4. Step 4: Simplify right side
    56,726x = 1,683,925,558.80
  5. Step 5: Solve for x
    x = 1,683,925,558.80/56,726
  6. Step 6: Final answer
    x = 29,685.25

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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.