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Finding the Fourth Proportional to 78,363.70, 117,622.35 and 38,965.30

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Solution

The fourth proportional to 78,363.70, 117,622.35 and 38,965.30 is: 58,486.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,363.70 : 117,622.35 = 38,965.30 : x
  2. Step 2: Convert to fraction form
    78,363.70/117,622.35 = 38,965.30/x
  3. Step 3: Cross multiply
    78,363.70x = 117,622.35 × 38,965.30
  4. Step 4: Simplify right side
    78,363.70x = 4,583,190,154.46
  5. Step 5: Solve for x
    x = 4,583,190,154.46/78,363.70
  6. Step 6: Final answer
    x = 58,486.14

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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.