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Finding the Fourth Proportional to 81,271.80, 121,670.10 and 57,943.80

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Solution

The fourth proportional to 81,271.80, 121,670.10 and 57,943.80 is: 86,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,271.80 : 121,670.10 = 57,943.80 : x
  2. Step 2: Convert to fraction form
    81,271.80/121,670.10 = 57,943.80/x
  3. Step 3: Cross multiply
    81,271.80x = 121,670.10 × 57,943.80
  4. Step 4: Simplify right side
    81,271.80x = 7,050,027,940.38
  5. Step 5: Solve for x
    x = 7,050,027,940.38/81,271.80
  6. Step 6: Final answer
    x = 86,746.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.