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Finding the Fourth Proportional to 133,703.38, 184,538.01 and 77,107.06

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Solution

The fourth proportional to 133,703.38, 184,538.01 and 77,107.06 is: 106,423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,703.38 : 184,538.01 = 77,107.06 : x
  2. Step 2: Convert to fraction form
    133,703.38/184,538.01 = 77,107.06/x
  3. Step 3: Cross multiply
    133,703.38x = 184,538.01 × 77,107.06
  4. Step 4: Simplify right side
    133,703.38x = 14,229,183,409.35
  5. Step 5: Solve for x
    x = 14,229,183,409.35/133,703.38
  6. Step 6: Final answer
    x = 106,423.51

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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.