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Finding the Fourth Proportional to 81,005.88, 120,922.80 and 69,983.40

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Solution

The fourth proportional to 81,005.88, 120,922.80 and 69,983.40 is: 104,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,005.88 : 120,922.80 = 69,983.40 : x
  2. Step 2: Convert to fraction form
    81,005.88/120,922.80 = 69,983.40/x
  3. Step 3: Cross multiply
    81,005.88x = 120,922.80 × 69,983.40
  4. Step 4: Simplify right side
    81,005.88x = 8,462,588,681.52
  5. Step 5: Solve for x
    x = 8,462,588,681.52/81,005.88
  6. Step 6: Final answer
    x = 104,468.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.