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Finding the Fourth Proportional to 84,616.89, 126,931.71 and 28,457.16

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Solution

The fourth proportional to 84,616.89, 126,931.71 and 28,457.16 is: 42,687.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,616.89 : 126,931.71 = 28,457.16 : x
  2. Step 2: Convert to fraction form
    84,616.89/126,931.71 = 28,457.16/x
  3. Step 3: Cross multiply
    84,616.89x = 126,931.71 × 28,457.16
  4. Step 4: Simplify right side
    84,616.89x = 3,612,115,980.54
  5. Step 5: Solve for x
    x = 3,612,115,980.54/84,616.89
  6. Step 6: Final answer
    x = 42,687.88

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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.