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Finding the Fourth Proportional to 251,717.09, 377,485.72 and 83,206.31

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Solution

The fourth proportional to 251,717.09, 377,485.72 and 83,206.31 is: 124,779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,717.09 : 377,485.72 = 83,206.31 : x
  2. Step 2: Convert to fraction form
    251,717.09/377,485.72 = 83,206.31/x
  3. Step 3: Cross multiply
    251,717.09x = 377,485.72 × 83,206.31
  4. Step 4: Simplify right side
    251,717.09x = 31,409,191,743.45
  5. Step 5: Solve for x
    x = 31,409,191,743.45/251,717.09
  6. Step 6: Final answer
    x = 124,779.74

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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.