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Finding the Fourth Proportional to 56,978.48, 85,500.12 and 30,682.64

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Solution

The fourth proportional to 56,978.48, 85,500.12 and 30,682.64 is: 46,041.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,978.48 : 85,500.12 = 30,682.64 : x
  2. Step 2: Convert to fraction form
    56,978.48/85,500.12 = 30,682.64/x
  3. Step 3: Cross multiply
    56,978.48x = 85,500.12 × 30,682.64
  4. Step 4: Simplify right side
    56,978.48x = 2,623,369,401.92
  5. Step 5: Solve for x
    x = 2,623,369,401.92/56,978.48
  6. Step 6: Final answer
    x = 46,041.41

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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.