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Finding the Fourth Proportional to 191,403, 264,136.14 and 106,520.13

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Solution

The fourth proportional to 191,403, 264,136.14 and 106,520.13 is: 146,997.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,403 : 264,136.14 = 106,520.13 : x
  2. Step 2: Convert to fraction form
    191,403/264,136.14 = 106,520.13/x
  3. Step 3: Cross multiply
    191,403x = 264,136.14 × 106,520.13
  4. Step 4: Simplify right side
    191,403x = 28,135,815,970.50
  5. Step 5: Solve for x
    x = 28,135,815,970.50/191,403
  6. Step 6: Final answer
    x = 146,997.78

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1.5x scale

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.