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Finding the Fourth Proportional to 86,732.28, 130,009.80 and 49,213.09

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Solution

The fourth proportional to 86,732.28, 130,009.80 and 49,213.09 is: 73,769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,732.28 : 130,009.80 = 49,213.09 : x
  2. Step 2: Convert to fraction form
    86,732.28/130,009.80 = 49,213.09/x
  3. Step 3: Cross multiply
    86,732.28x = 130,009.80 × 49,213.09
  4. Step 4: Simplify right side
    86,732.28x = 6,398,184,335.34
  5. Step 5: Solve for x
    x = 6,398,184,335.34/86,732.28
  6. Step 6: Final answer
    x = 73,769.35

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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.