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Finding the Fourth Proportional to 257,081.36, 385,640.40 and 79,565.60

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Solution

The fourth proportional to 257,081.36, 385,640.40 and 79,565.60 is: 119,354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,081.36 : 385,640.40 = 79,565.60 : x
  2. Step 2: Convert to fraction form
    257,081.36/385,640.40 = 79,565.60/x
  3. Step 3: Cross multiply
    257,081.36x = 385,640.40 × 79,565.60
  4. Step 4: Simplify right side
    257,081.36x = 30,683,709,810.24
  5. Step 5: Solve for x
    x = 30,683,709,810.24/257,081.36
  6. Step 6: Final answer
    x = 119,354.08

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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.