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Finding the Fourth Proportional to 81,398.16, 121,878.48 and 51,654.96

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Solution

The fourth proportional to 81,398.16, 121,878.48 and 51,654.96 is: 77,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,398.16 : 121,878.48 = 51,654.96 : x
  2. Step 2: Convert to fraction form
    81,398.16/121,878.48 = 51,654.96/x
  3. Step 3: Cross multiply
    81,398.16x = 121,878.48 × 51,654.96
  4. Step 4: Simplify right side
    81,398.16x = 6,295,628,009.26
  5. Step 5: Solve for x
    x = 6,295,628,009.26/81,398.16
  6. Step 6: Final answer
    x = 77,343.62

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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.