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Finding the Fourth Proportional to 215,090.40, 322,489.80 and 81,950.70

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Solution

The fourth proportional to 215,090.40, 322,489.80 and 81,950.70 is: 122,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,090.40 : 322,489.80 = 81,950.70 : x
  2. Step 2: Convert to fraction form
    215,090.40/322,489.80 = 81,950.70/x
  3. Step 3: Cross multiply
    215,090.40x = 322,489.80 × 81,950.70
  4. Step 4: Simplify right side
    215,090.40x = 26,428,264,852.86
  5. Step 5: Solve for x
    x = 26,428,264,852.86/215,090.40
  6. Step 6: Final answer
    x = 122,870.50

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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.