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Finding the Fourth Proportional to 78,635.52, 117,920.16 and 31,855.68

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Solution

The fourth proportional to 78,635.52, 117,920.16 and 31,855.68 is: 47,770.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,635.52 : 117,920.16 = 31,855.68 : x
  2. Step 2: Convert to fraction form
    78,635.52/117,920.16 = 31,855.68/x
  3. Step 3: Cross multiply
    78,635.52x = 117,920.16 × 31,855.68
  4. Step 4: Simplify right side
    78,635.52x = 3,756,426,882.51
  5. Step 5: Solve for x
    x = 3,756,426,882.51/78,635.52
  6. Step 6: Final answer
    x = 47,770.10

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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.