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Finding the Fourth Proportional to 81,851.66, 112,970.79 and 51,239.00

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Solution

The fourth proportional to 81,851.66, 112,970.79 and 51,239.00 is: 70,719.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,851.66 : 112,970.79 = 51,239.00 : x
  2. Step 2: Convert to fraction form
    81,851.66/112,970.79 = 51,239.00/x
  3. Step 3: Cross multiply
    81,851.66x = 112,970.79 × 51,239.00
  4. Step 4: Simplify right side
    81,851.66x = 5,788,510,591.24
  5. Step 5: Solve for x
    x = 5,788,510,591.24/81,851.66
  6. Step 6: Final answer
    x = 70,719.53

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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.