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Finding the Fourth Proportional to 133,142.86, 183,735.91 and 72,713.32

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Solution

The fourth proportional to 133,142.86, 183,735.91 and 72,713.32 is: 100,343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,142.86 : 183,735.91 = 72,713.32 : x
  2. Step 2: Convert to fraction form
    133,142.86/183,735.91 = 72,713.32/x
  3. Step 3: Cross multiply
    133,142.86x = 183,735.91 × 72,713.32
  4. Step 4: Simplify right side
    133,142.86x = 13,360,047,650.87
  5. Step 5: Solve for x
    x = 13,360,047,650.87/133,142.86
  6. Step 6: Final answer
    x = 100,343.70

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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.