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Finding the Fourth Proportional to 84,617, 126,927.60 and 28,457.84

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Solution

The fourth proportional to 84,617, 126,927.60 and 28,457.84 is: 42,687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,617 : 126,927.60 = 28,457.84 : x
  2. Step 2: Convert to fraction form
    84,617/126,927.60 = 28,457.84/x
  3. Step 3: Cross multiply
    84,617x = 126,927.60 × 28,457.84
  4. Step 4: Simplify right side
    84,617x = 3,612,085,332.38
  5. Step 5: Solve for x
    x = 3,612,085,332.38/84,617
  6. Step 6: Final answer
    x = 42,687.47

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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.