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Finding the Fourth Proportional to 86,764.86, 130,114.44 and 47,300.49

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Solution

The fourth proportional to 86,764.86, 130,114.44 and 47,300.49 is: 70,932.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,764.86 : 130,114.44 = 47,300.49 : x
  2. Step 2: Convert to fraction form
    86,764.86/130,114.44 = 47,300.49/x
  3. Step 3: Cross multiply
    86,764.86x = 130,114.44 × 47,300.49
  4. Step 4: Simplify right side
    86,764.86x = 6,154,476,768.08
  5. Step 5: Solve for x
    x = 6,154,476,768.08/86,764.86
  6. Step 6: Final answer
    x = 70,932.83

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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.