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Finding the Fourth Proportional to 78,065.87, 117,115.01 and 31,322.39

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Solution

The fourth proportional to 78,065.87, 117,115.01 and 31,322.39 is: 46,990.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,065.87 : 117,115.01 = 31,322.39 : x
  2. Step 2: Convert to fraction form
    78,065.87/117,115.01 = 31,322.39/x
  3. Step 3: Cross multiply
    78,065.87x = 117,115.01 × 31,322.39
  4. Step 4: Simplify right side
    78,065.87x = 3,668,322,271.71
  5. Step 5: Solve for x
    x = 3,668,322,271.71/78,065.87
  6. Step 6: Final answer
    x = 46,990.09

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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.