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Finding the Fourth Proportional to 127,507.60, 191,136.65 and 47,486.86

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Solution

The fourth proportional to 127,507.60, 191,136.65 and 47,486.86 is: 71,183.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,507.60 : 191,136.65 = 47,486.86 : x
  2. Step 2: Convert to fraction form
    127,507.60/191,136.65 = 47,486.86/x
  3. Step 3: Cross multiply
    127,507.60x = 191,136.65 × 47,486.86
  4. Step 4: Simplify right side
    127,507.60x = 9,076,478,624.14
  5. Step 5: Solve for x
    x = 9,076,478,624.14/127,507.60
  6. Step 6: Final answer
    x = 71,183.82

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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.