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Finding the Fourth Proportional to 86,727.10, 130,164.72 and 61,828.06

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Solution

The fourth proportional to 86,727.10, 130,164.72 and 61,828.06 is: 92,794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,727.10 : 130,164.72 = 61,828.06 : x
  2. Step 2: Convert to fraction form
    86,727.10/130,164.72 = 61,828.06/x
  3. Step 3: Cross multiply
    86,727.10x = 130,164.72 × 61,828.06
  4. Step 4: Simplify right side
    86,727.10x = 8,047,832,118.04
  5. Step 5: Solve for x
    x = 8,047,832,118.04/86,727.10
  6. Step 6: Final answer
    x = 92,794.89

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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.