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Finding the Fourth Proportional to 133,468.32, 184,186.80 and 85,722.06

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Solution

The fourth proportional to 133,468.32, 184,186.80 and 85,722.06 is: 118,296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,468.32 : 184,186.80 = 85,722.06 : x
  2. Step 2: Convert to fraction form
    133,468.32/184,186.80 = 85,722.06/x
  3. Step 3: Cross multiply
    133,468.32x = 184,186.80 × 85,722.06
  4. Step 4: Simplify right side
    133,468.32x = 15,788,871,920.81
  5. Step 5: Solve for x
    x = 15,788,871,920.81/133,468.32
  6. Step 6: Final answer
    x = 118,296.78

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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.