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Finding the Fourth Proportional to 133,129.32, 199,790.31 and 52,088.32

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Solution

The fourth proportional to 133,129.32, 199,790.31 and 52,088.32 is: 78,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,129.32 : 199,790.31 = 52,088.32 : x
  2. Step 2: Convert to fraction form
    133,129.32/199,790.31 = 52,088.32/x
  3. Step 3: Cross multiply
    133,129.32x = 199,790.31 × 52,088.32
  4. Step 4: Simplify right side
    133,129.32x = 10,406,741,600.18
  5. Step 5: Solve for x
    x = 10,406,741,600.18/133,129.32
  6. Step 6: Final answer
    x = 78,170.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.