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Finding the Fourth Proportional to 81,712.86, 112,751.47 and 45,896.01

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Solution

The fourth proportional to 81,712.86, 112,751.47 and 45,896.01 is: 63,329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,712.86 : 112,751.47 = 45,896.01 : x
  2. Step 2: Convert to fraction form
    81,712.86/112,751.47 = 45,896.01/x
  3. Step 3: Cross multiply
    81,712.86x = 112,751.47 × 45,896.01
  4. Step 4: Simplify right side
    81,712.86x = 5,174,842,594.63
  5. Step 5: Solve for x
    x = 5,174,842,594.63/81,712.86
  6. Step 6: Final answer
    x = 63,329.60

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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.