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Finding the Fourth Proportional to 133,792.12, 184,631.46 and 77,202.28

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Solution

The fourth proportional to 133,792.12, 184,631.46 and 77,202.28 is: 106,538.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,792.12 : 184,631.46 = 77,202.28 : x
  2. Step 2: Convert to fraction form
    133,792.12/184,631.46 = 77,202.28/x
  3. Step 3: Cross multiply
    133,792.12x = 184,631.46 × 77,202.28
  4. Step 4: Simplify right side
    133,792.12x = 14,253,969,671.73
  5. Step 5: Solve for x
    x = 14,253,969,671.73/133,792.12
  6. Step 6: Final answer
    x = 106,538.19

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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.