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Finding the Fourth Proportional to 86,943.65, 130,387.32 and 27,765.32

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Solution

The fourth proportional to 86,943.65, 130,387.32 and 27,765.32 is: 41,638.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,943.65 : 130,387.32 = 27,765.32 : x
  2. Step 2: Convert to fraction form
    86,943.65/130,387.32 = 27,765.32/x
  3. Step 3: Cross multiply
    86,943.65x = 130,387.32 × 27,765.32
  4. Step 4: Simplify right side
    86,943.65x = 3,620,245,011.81
  5. Step 5: Solve for x
    x = 3,620,245,011.81/86,943.65
  6. Step 6: Final answer
    x = 41,638.98

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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.