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Finding the Fourth Proportional to 81,850.79, 112,969.58 and 51,238.13

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Solution

The fourth proportional to 81,850.79, 112,969.58 and 51,238.13 is: 70,718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,850.79 : 112,969.58 = 51,238.13 : x
  2. Step 2: Convert to fraction form
    81,850.79/112,969.58 = 51,238.13/x
  3. Step 3: Cross multiply
    81,850.79x = 112,969.58 × 51,238.13
  4. Step 4: Simplify right side
    81,850.79x = 5,788,349,871.76
  5. Step 5: Solve for x
    x = 5,788,349,871.76/81,850.79
  6. Step 6: Final answer
    x = 70,718.32

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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.