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Finding the Fourth Proportional to 78,415.84, 117,631.02 and 22,257.32

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Solution

The fourth proportional to 78,415.84, 117,631.02 and 22,257.32 is: 33,388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,415.84 : 117,631.02 = 22,257.32 : x
  2. Step 2: Convert to fraction form
    78,415.84/117,631.02 = 22,257.32/x
  3. Step 3: Cross multiply
    78,415.84x = 117,631.02 × 22,257.32
  4. Step 4: Simplify right side
    78,415.84x = 2,618,151,254.07
  5. Step 5: Solve for x
    x = 2,618,151,254.07/78,415.84
  6. Step 6: Final answer
    x = 33,388.04

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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.