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Finding the Fourth Proportional to 56,475, 84,751.38 and 19,539

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Solution

The fourth proportional to 56,475, 84,751.38 and 19,539 is: 29,321.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,475 : 84,751.38 = 19,539 : x
  2. Step 2: Convert to fraction form
    56,475/84,751.38 = 19,539/x
  3. Step 3: Cross multiply
    56,475x = 84,751.38 × 19,539
  4. Step 4: Simplify right side
    56,475x = 1,655,957,213.82
  5. Step 5: Solve for x
    x = 1,655,957,213.82/56,475
  6. Step 6: Final answer
    x = 29,321.95

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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.