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Finding the Fourth Proportional to 86,896.65, 130,437.15 and 76,965.87

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Solution

The fourth proportional to 86,896.65, 130,437.15 and 76,965.87 is: 115,530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,896.65 : 130,437.15 = 76,965.87 : x
  2. Step 2: Convert to fraction form
    86,896.65/130,437.15 = 76,965.87/x
  3. Step 3: Cross multiply
    86,896.65x = 130,437.15 × 76,965.87
  4. Step 4: Simplify right side
    86,896.65x = 10,039,208,730.07
  5. Step 5: Solve for x
    x = 10,039,208,730.07/86,896.65
  6. Step 6: Final answer
    x = 115,530.45

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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.