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Finding the Fourth Proportional to 81,292.90, 121,952 and 48,036.93

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Solution

The fourth proportional to 81,292.90, 121,952 and 48,036.93 is: 72,062.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,292.90 : 121,952 = 48,036.93 : x
  2. Step 2: Convert to fraction form
    81,292.90/121,952 = 48,036.93/x
  3. Step 3: Cross multiply
    81,292.90x = 121,952 × 48,036.93
  4. Step 4: Simplify right side
    81,292.90x = 5,858,199,687.36
  5. Step 5: Solve for x
    x = 5,858,199,687.36/81,292.90
  6. Step 6: Final answer
    x = 72,062.87

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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.