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Finding the Fourth Proportional to 56,734, 85,139.88 and 19,798

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Solution

The fourth proportional to 56,734, 85,139.88 and 19,798 is: 29,710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,734 : 85,139.88 = 19,798 : x
  2. Step 2: Convert to fraction form
    56,734/85,139.88 = 19,798/x
  3. Step 3: Cross multiply
    56,734x = 85,139.88 × 19,798
  4. Step 4: Simplify right side
    56,734x = 1,685,599,344.24
  5. Step 5: Solve for x
    x = 1,685,599,344.24/56,734
  6. Step 6: Final answer
    x = 29,710.57

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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.