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Finding the Fourth Proportional to 78,778.56, 118,133.28 and 29,496

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Solution

The fourth proportional to 78,778.56, 118,133.28 and 29,496 is: 44,231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,778.56 : 118,133.28 = 29,496 : x
  2. Step 2: Convert to fraction form
    78,778.56/118,133.28 = 29,496/x
  3. Step 3: Cross multiply
    78,778.56x = 118,133.28 × 29,496
  4. Step 4: Simplify right side
    78,778.56x = 3,484,459,226.88
  5. Step 5: Solve for x
    x = 3,484,459,226.88/78,778.56
  6. Step 6: Final answer
    x = 44,231.06

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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.