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Finding the Fourth Proportional to 76,827.84, 106,012.80 and 42,828

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Solution

The fourth proportional to 76,827.84, 106,012.80 and 42,828 is: 59,097.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,827.84 : 106,012.80 = 42,828 : x
  2. Step 2: Convert to fraction form
    76,827.84/106,012.80 = 42,828/x
  3. Step 3: Cross multiply
    76,827.84x = 106,012.80 × 42,828
  4. Step 4: Simplify right side
    76,827.84x = 4,540,316,198.40
  5. Step 5: Solve for x
    x = 4,540,316,198.40/76,827.84
  6. Step 6: Final answer
    x = 59,097.28

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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.