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Finding the Fourth Proportional to 48,820.64, 67,379.68 and 30,917.28

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Solution

The fourth proportional to 48,820.64, 67,379.68 and 30,917.28 is: 42,670.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,820.64 : 67,379.68 = 30,917.28 : x
  2. Step 2: Convert to fraction form
    48,820.64/67,379.68 = 30,917.28/x
  3. Step 3: Cross multiply
    48,820.64x = 67,379.68 × 30,917.28
  4. Step 4: Simplify right side
    48,820.64x = 2,083,196,432.87
  5. Step 5: Solve for x
    x = 2,083,196,432.87/48,820.64
  6. Step 6: Final answer
    x = 42,670.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.