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Finding the Fourth Proportional to 86,780, 119,756.48 and 47,036

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Solution

The fourth proportional to 86,780, 119,756.48 and 47,036 is: 64,909.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,780 : 119,756.48 = 47,036 : x
  2. Step 2: Convert to fraction form
    86,780/119,756.48 = 47,036/x
  3. Step 3: Cross multiply
    86,780x = 119,756.48 × 47,036
  4. Step 4: Simplify right side
    86,780x = 5,632,865,793.28
  5. Step 5: Solve for x
    x = 5,632,865,793.28/86,780
  6. Step 6: Final answer
    x = 64,909.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.