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Finding the Fourth Proportional to 286,775.53, 430,241.87 and 87,102.43

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Solution

The fourth proportional to 286,775.53, 430,241.87 and 87,102.43 is: 130,677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,775.53 : 430,241.87 = 87,102.43 : x
  2. Step 2: Convert to fraction form
    286,775.53/430,241.87 = 87,102.43/x
  3. Step 3: Cross multiply
    286,775.53x = 430,241.87 × 87,102.43
  4. Step 4: Simplify right side
    286,775.53x = 37,475,112,364.74
  5. Step 5: Solve for x
    x = 37,475,112,364.74/286,775.53
  6. Step 6: Final answer
    x = 130,677.51

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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.