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Finding the Fourth Proportional to 76,147.50, 105,129.63 and 49,697.58

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Solution

The fourth proportional to 76,147.50, 105,129.63 and 49,697.58 is: 68,612.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,147.50 : 105,129.63 = 49,697.58 : x
  2. Step 2: Convert to fraction form
    76,147.50/105,129.63 = 49,697.58/x
  3. Step 3: Cross multiply
    76,147.50x = 105,129.63 × 49,697.58
  4. Step 4: Simplify right side
    76,147.50x = 5,224,688,197.30
  5. Step 5: Solve for x
    x = 5,224,688,197.30/76,147.50
  6. Step 6: Final answer
    x = 68,612.73

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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.