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Finding the Fourth Proportional to 78,302.48, 117,315.32 and 41,392.40

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Solution

The fourth proportional to 78,302.48, 117,315.32 and 41,392.40 is: 62,015.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,302.48 : 117,315.32 = 41,392.40 : x
  2. Step 2: Convert to fraction form
    78,302.48/117,315.32 = 41,392.40/x
  3. Step 3: Cross multiply
    78,302.48x = 117,315.32 × 41,392.40
  4. Step 4: Simplify right side
    78,302.48x = 4,855,962,651.57
  5. Step 5: Solve for x
    x = 4,855,962,651.57/78,302.48
  6. Step 6: Final answer
    x = 62,015.44

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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.