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Finding the Fourth Proportional to 81,405.84, 112,337 and 45,594.08

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Solution

The fourth proportional to 81,405.84, 112,337 and 45,594.08 is: 62,918.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,405.84 : 112,337 = 45,594.08 : x
  2. Step 2: Convert to fraction form
    81,405.84/112,337 = 45,594.08/x
  3. Step 3: Cross multiply
    81,405.84x = 112,337 × 45,594.08
  4. Step 4: Simplify right side
    81,405.84x = 5,121,902,164.96
  5. Step 5: Solve for x
    x = 5,121,902,164.96/81,405.84
  6. Step 6: Final answer
    x = 62,918.12

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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.