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Finding the Fourth Proportional to 81,457.63, 112,409.68 and 47,464

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Solution

The fourth proportional to 81,457.63, 112,409.68 and 47,464 is: 65,499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,457.63 : 112,409.68 = 47,464 : x
  2. Step 2: Convert to fraction form
    81,457.63/112,409.68 = 47,464/x
  3. Step 3: Cross multiply
    81,457.63x = 112,409.68 × 47,464
  4. Step 4: Simplify right side
    81,457.63x = 5,335,413,051.52
  5. Step 5: Solve for x
    x = 5,335,413,051.52/81,457.63
  6. Step 6: Final answer
    x = 65,499.24

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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.