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Finding the Fourth Proportional to 133,972.84, 184,875.82 and 77,380.84

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Solution

The fourth proportional to 133,972.84, 184,875.82 and 77,380.84 is: 106,781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,972.84 : 184,875.82 = 77,380.84 : x
  2. Step 2: Convert to fraction form
    133,972.84/184,875.82 = 77,380.84/x
  3. Step 3: Cross multiply
    133,972.84x = 184,875.82 × 77,380.84
  4. Step 4: Simplify right side
    133,972.84x = 14,305,846,247.29
  5. Step 5: Solve for x
    x = 14,305,846,247.29/133,972.84
  6. Step 6: Final answer
    x = 106,781.69

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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.