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Finding the Fourth Proportional to 78,312.30, 117,504.90 and 40,914.60

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Solution

The fourth proportional to 78,312.30, 117,504.90 and 40,914.60 is: 61,390.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,312.30 : 117,504.90 = 40,914.60 : x
  2. Step 2: Convert to fraction form
    78,312.30/117,504.90 = 40,914.60/x
  3. Step 3: Cross multiply
    78,312.30x = 117,504.90 × 40,914.60
  4. Step 4: Simplify right side
    78,312.30x = 4,807,665,981.54
  5. Step 5: Solve for x
    x = 4,807,665,981.54/78,312.30
  6. Step 6: Final answer
    x = 61,390.94

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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.