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Finding the Fourth Proportional to 76,581, 114,902.52 and 34,431.60

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Solution

The fourth proportional to 76,581, 114,902.52 and 34,431.60 is: 51,661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,581 : 114,902.52 = 34,431.60 : x
  2. Step 2: Convert to fraction form
    76,581/114,902.52 = 34,431.60/x
  3. Step 3: Cross multiply
    76,581x = 114,902.52 × 34,431.60
  4. Step 4: Simplify right side
    76,581x = 3,956,277,607.63
  5. Step 5: Solve for x
    x = 3,956,277,607.63/76,581
  6. Step 6: Final answer
    x = 51,661.35

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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.