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Finding the Fourth Proportional to 78,576, 108,432 and 42,765.12

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Solution

The fourth proportional to 78,576, 108,432 and 42,765.12 is: 59,014.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,576 : 108,432 = 42,765.12 : x
  2. Step 2: Convert to fraction form
    78,576/108,432 = 42,765.12/x
  3. Step 3: Cross multiply
    78,576x = 108,432 × 42,765.12
  4. Step 4: Simplify right side
    78,576x = 4,637,107,491.84
  5. Step 5: Solve for x
    x = 4,637,107,491.84/78,576
  6. Step 6: Final answer
    x = 59,014.30

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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.