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Finding the Fourth Proportional to 78,298.50, 117,426.75 and 22,125.41

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Solution

The fourth proportional to 78,298.50, 117,426.75 and 22,125.41 is: 33,182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,298.50 : 117,426.75 = 22,125.41 : x
  2. Step 2: Convert to fraction form
    78,298.50/117,426.75 = 22,125.41/x
  3. Step 3: Cross multiply
    78,298.50x = 117,426.75 × 22,125.41
  4. Step 4: Simplify right side
    78,298.50x = 2,598,114,988.72
  5. Step 5: Solve for x
    x = 2,598,114,988.72/78,298.50
  6. Step 6: Final answer
    x = 33,182.18

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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.