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Finding the Fourth Proportional to 201,772.80, 302,586.30 and 81,779.40

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Solution

The fourth proportional to 201,772.80, 302,586.30 and 81,779.40 is: 122,639.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,772.80 : 302,586.30 = 81,779.40 : x
  2. Step 2: Convert to fraction form
    201,772.80/302,586.30 = 81,779.40/x
  3. Step 3: Cross multiply
    201,772.80x = 302,586.30 × 81,779.40
  4. Step 4: Simplify right side
    201,772.80x = 24,745,326,062.22
  5. Step 5: Solve for x
    x = 24,745,326,062.22/201,772.80
  6. Step 6: Final answer
    x = 122,639.55

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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.