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Finding the Fourth Proportional to 78,361, 117,541.26 and 28,441.04

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Solution

The fourth proportional to 78,361, 117,541.26 and 28,441.04 is: 42,661.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,361 : 117,541.26 = 28,441.04 : x
  2. Step 2: Convert to fraction form
    78,361/117,541.26 = 28,441.04/x
  3. Step 3: Cross multiply
    78,361x = 117,541.26 × 28,441.04
  4. Step 4: Simplify right side
    78,361x = 3,342,995,677.31
  5. Step 5: Solve for x
    x = 3,342,995,677.31/78,361
  6. Step 6: Final answer
    x = 42,661.47

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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.