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Finding the Fourth Proportional to 81,406, 112,343.88 and 45,595.24

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Solution

The fourth proportional to 81,406, 112,343.88 and 45,595.24 is: 62,923.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,406 : 112,343.88 = 45,595.24 : x
  2. Step 2: Convert to fraction form
    81,406/112,343.88 = 45,595.24/x
  3. Step 3: Cross multiply
    81,406x = 112,343.88 × 45,595.24
  4. Step 4: Simplify right side
    81,406x = 5,122,346,171.13
  5. Step 5: Solve for x
    x = 5,122,346,171.13/81,406
  6. Step 6: Final answer
    x = 62,923.45

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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.