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Finding the Fourth Proportional to 105,249, 156,520.10 and 101,926.56

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Solution

The fourth proportional to 105,249, 156,520.10 and 101,926.56 is: 151,579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,249 : 156,520.10 = 101,926.56 : x
  2. Step 2: Convert to fraction form
    105,249/156,520.10 = 101,926.56/x
  3. Step 3: Cross multiply
    105,249x = 156,520.10 × 101,926.56
  4. Step 4: Simplify right side
    105,249x = 15,953,555,363.86
  5. Step 5: Solve for x
    x = 15,953,555,363.86/105,249
  6. Step 6: Final answer
    x = 151,579.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.