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Finding the Fourth Proportional to 255,136.28, 382,695.91 and 137,038.28

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Solution

The fourth proportional to 255,136.28, 382,695.91 and 137,038.28 is: 205,552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,136.28 : 382,695.91 = 137,038.28 : x
  2. Step 2: Convert to fraction form
    255,136.28/382,695.91 = 137,038.28/x
  3. Step 3: Cross multiply
    255,136.28x = 382,695.91 × 137,038.28
  4. Step 4: Simplify right side
    255,136.28x = 52,443,989,269.43
  5. Step 5: Solve for x
    x = 52,443,989,269.43/255,136.28
  6. Step 6: Final answer
    x = 205,552.85

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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.