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Finding the Fourth Proportional to 78,089.80, 117,065.34 and 31,310.92

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Solution

The fourth proportional to 78,089.80, 117,065.34 and 31,310.92 is: 46,938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,089.80 : 117,065.34 = 31,310.92 : x
  2. Step 2: Convert to fraction form
    78,089.80/117,065.34 = 31,310.92/x
  3. Step 3: Cross multiply
    78,089.80x = 117,065.34 × 31,310.92
  4. Step 4: Simplify right side
    78,089.80x = 3,665,423,495.51
  5. Step 5: Solve for x
    x = 3,665,423,495.51/78,089.80
  6. Step 6: Final answer
    x = 46,938.57

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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.