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Finding the Fourth Proportional to 81,412.31, 121,959.50 and 56,107.31

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Solution

The fourth proportional to 81,412.31, 121,959.50 and 56,107.31 is: 84,051.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,412.31 : 121,959.50 = 56,107.31 : x
  2. Step 2: Convert to fraction form
    81,412.31/121,959.50 = 56,107.31/x
  3. Step 3: Cross multiply
    81,412.31x = 121,959.50 × 56,107.31
  4. Step 4: Simplify right side
    81,412.31x = 6,842,818,583.61
  5. Step 5: Solve for x
    x = 6,842,818,583.61/81,412.31
  6. Step 6: Final answer
    x = 84,051.40

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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.