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Finding the Fourth Proportional to 56,350, 84,554.16 and 28,648

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Solution

The fourth proportional to 56,350, 84,554.16 and 28,648 is: 42,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,350 : 84,554.16 = 28,648 : x
  2. Step 2: Convert to fraction form
    56,350/84,554.16 = 28,648/x
  3. Step 3: Cross multiply
    56,350x = 84,554.16 × 28,648
  4. Step 4: Simplify right side
    56,350x = 2,422,307,575.68
  5. Step 5: Solve for x
    x = 2,422,307,575.68/56,350
  6. Step 6: Final answer
    x = 42,986.82

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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.