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Finding the Fourth Proportional to 286,759.92, 430,140.56 and 87,081.81

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Solution

The fourth proportional to 286,759.92, 430,140.56 and 87,081.81 is: 130,622.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,759.92 : 430,140.56 = 87,081.81 : x
  2. Step 2: Convert to fraction form
    286,759.92/430,140.56 = 87,081.81/x
  3. Step 3: Cross multiply
    286,759.92x = 430,140.56 × 87,081.81
  4. Step 4: Simplify right side
    286,759.92x = 37,457,418,537.76
  5. Step 5: Solve for x
    x = 37,457,418,537.76/286,759.92
  6. Step 6: Final answer
    x = 130,622.92

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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.