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Finding the Fourth Proportional to 56,750.70, 85,135.23 and 19,314.12

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Solution

The fourth proportional to 56,750.70, 85,135.23 and 19,314.12 is: 28,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,750.70 : 85,135.23 = 19,314.12 : x
  2. Step 2: Convert to fraction form
    56,750.70/85,135.23 = 19,314.12/x
  3. Step 3: Cross multiply
    56,750.70x = 85,135.23 × 19,314.12
  4. Step 4: Simplify right side
    56,750.70x = 1,644,312,048.45
  5. Step 5: Solve for x
    x = 1,644,312,048.45/56,750.70
  6. Step 6: Final answer
    x = 28,974.30

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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.