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Finding the Fourth Proportional to 81,406.94, 112,331.70 and 47,420.96

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Solution

The fourth proportional to 81,406.94, 112,331.70 and 47,420.96 is: 65,435.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,406.94 : 112,331.70 = 47,420.96 : x
  2. Step 2: Convert to fraction form
    81,406.94/112,331.70 = 47,420.96/x
  3. Step 3: Cross multiply
    81,406.94x = 112,331.70 × 47,420.96
  4. Step 4: Simplify right side
    81,406.94x = 5,326,877,052.43
  5. Step 5: Solve for x
    x = 5,326,877,052.43/81,406.94
  6. Step 6: Final answer
    x = 65,435.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.