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Finding the Fourth Proportional to 86,983.84, 130,448.40 and 53,653.96

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Solution

The fourth proportional to 86,983.84, 130,448.40 and 53,653.96 is: 80,464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,983.84 : 130,448.40 = 53,653.96 : x
  2. Step 2: Convert to fraction form
    86,983.84/130,448.40 = 53,653.96/x
  3. Step 3: Cross multiply
    86,983.84x = 130,448.40 × 53,653.96
  4. Step 4: Simplify right side
    86,983.84x = 6,999,073,235.66
  5. Step 5: Solve for x
    x = 6,999,073,235.66/86,983.84
  6. Step 6: Final answer
    x = 80,464.06

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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.