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Finding the Fourth Proportional to 86,358.35, 129,678.20 and 53,288.63

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Solution

The fourth proportional to 86,358.35, 129,678.20 and 53,288.63 is: 80,019.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,358.35 : 129,678.20 = 53,288.63 : x
  2. Step 2: Convert to fraction form
    86,358.35/129,678.20 = 53,288.63/x
  3. Step 3: Cross multiply
    86,358.35x = 129,678.20 × 53,288.63
  4. Step 4: Simplify right side
    86,358.35x = 6,910,374,119.60
  5. Step 5: Solve for x
    x = 6,910,374,119.60/86,358.35
  6. Step 6: Final answer
    x = 80,019.75

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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.