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Finding the Fourth Proportional to 85,920.96, 128,892.73 and 31,878.28

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Solution

The fourth proportional to 85,920.96, 128,892.73 and 31,878.28 is: 47,821.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,920.96 : 128,892.73 = 31,878.28 : x
  2. Step 2: Convert to fraction form
    85,920.96/128,892.73 = 31,878.28/x
  3. Step 3: Cross multiply
    85,920.96x = 128,892.73 × 31,878.28
  4. Step 4: Simplify right side
    85,920.96x = 4,108,878,370.65
  5. Step 5: Solve for x
    x = 4,108,878,370.65/85,920.96
  6. Step 6: Final answer
    x = 47,821.61

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1.5x scale

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.