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Finding the Fourth Proportional to 133,827.83, 200,678.19 and 77,685.16

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Solution

The fourth proportional to 133,827.83, 200,678.19 and 77,685.16 is: 116,490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,827.83 : 200,678.19 = 77,685.16 : x
  2. Step 2: Convert to fraction form
    133,827.83/200,678.19 = 77,685.16/x
  3. Step 3: Cross multiply
    133,827.83x = 200,678.19 × 77,685.16
  4. Step 4: Simplify right side
    133,827.83x = 15,589,717,298.66
  5. Step 5: Solve for x
    x = 15,589,717,298.66/133,827.83
  6. Step 6: Final answer
    x = 116,490.85

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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.