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Finding the Fourth Proportional to 56,738, 85,145.88 and 19,802

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Solution

The fourth proportional to 56,738, 85,145.88 and 19,802 is: 29,716.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,738 : 85,145.88 = 19,802 : x
  2. Step 2: Convert to fraction form
    56,738/85,145.88 = 19,802/x
  3. Step 3: Cross multiply
    56,738x = 85,145.88 × 19,802
  4. Step 4: Simplify right side
    56,738x = 1,686,058,715.76
  5. Step 5: Solve for x
    x = 1,686,058,715.76/56,738
  6. Step 6: Final answer
    x = 29,716.57

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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.