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Finding the Fourth Proportional to 86,992.84, 130,498.62 and 27,807.40

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Solution

The fourth proportional to 86,992.84, 130,498.62 and 27,807.40 is: 41,714.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,992.84 : 130,498.62 = 27,807.40 : x
  2. Step 2: Convert to fraction form
    86,992.84/130,498.62 = 27,807.40/x
  3. Step 3: Cross multiply
    86,992.84x = 130,498.62 × 27,807.40
  4. Step 4: Simplify right side
    86,992.84x = 3,628,827,325.79
  5. Step 5: Solve for x
    x = 3,628,827,325.79/86,992.84
  6. Step 6: Final answer
    x = 41,714.09

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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.