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Finding the Fourth Proportional to 245,014.64, 367,288.68 and 78,686

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Solution

The fourth proportional to 245,014.64, 367,288.68 and 78,686 is: 117,954.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,014.64 : 367,288.68 = 78,686 : x
  2. Step 2: Convert to fraction form
    245,014.64/367,288.68 = 78,686/x
  3. Step 3: Cross multiply
    245,014.64x = 367,288.68 × 78,686
  4. Step 4: Simplify right side
    245,014.64x = 28,900,477,074.48
  5. Step 5: Solve for x
    x = 28,900,477,074.48/245,014.64
  6. Step 6: Final answer
    x = 117,954.08

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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.