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Finding the Fourth Proportional to 56,725, 85,088.22 and 19,789

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Solution

The fourth proportional to 56,725, 85,088.22 and 19,789 is: 29,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,725 : 85,088.22 = 19,789 : x
  2. Step 2: Convert to fraction form
    56,725/85,088.22 = 19,789/x
  3. Step 3: Cross multiply
    56,725x = 85,088.22 × 19,789
  4. Step 4: Simplify right side
    56,725x = 1,683,810,785.58
  5. Step 5: Solve for x
    x = 1,683,810,785.58/56,725
  6. Step 6: Final answer
    x = 29,683.75

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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.