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Finding the Fourth Proportional to 133,045.65, 199,462.50 and 76,821.93

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Solution

The fourth proportional to 133,045.65, 199,462.50 and 76,821.93 is: 115,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,045.65 : 199,462.50 = 76,821.93 : x
  2. Step 2: Convert to fraction form
    133,045.65/199,462.50 = 76,821.93/x
  3. Step 3: Cross multiply
    133,045.65x = 199,462.50 × 76,821.93
  4. Step 4: Simplify right side
    133,045.65x = 15,323,094,212.63
  5. Step 5: Solve for x
    x = 15,323,094,212.63/133,045.65
  6. Step 6: Final answer
    x = 115,171.70

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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.