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Finding the Fourth Proportional to 81,718, 112,695.96 and 53,007.76

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Solution

The fourth proportional to 81,718, 112,695.96 and 53,007.76 is: 73,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,718 : 112,695.96 = 53,007.76 : x
  2. Step 2: Convert to fraction form
    81,718/112,695.96 = 53,007.76/x
  3. Step 3: Cross multiply
    81,718x = 112,695.96 × 53,007.76
  4. Step 4: Simplify right side
    81,718x = 5,973,760,400.65
  5. Step 5: Solve for x
    x = 5,973,760,400.65/81,718
  6. Step 6: Final answer
    x = 73,102.14

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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.