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Finding the Fourth Proportional to 255,895.86, 353,136.90 and 142,725.90

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Solution

The fourth proportional to 255,895.86, 353,136.90 and 142,725.90 is: 196,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,895.86 : 353,136.90 = 142,725.90 : x
  2. Step 2: Convert to fraction form
    255,895.86/353,136.90 = 142,725.90/x
  3. Step 3: Cross multiply
    255,895.86x = 353,136.90 × 142,725.90
  4. Step 4: Simplify right side
    255,895.86x = 50,401,781,875.71
  5. Step 5: Solve for x
    x = 50,401,781,875.71/255,895.86
  6. Step 6: Final answer
    x = 196,962.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.