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Finding the Fourth Proportional to 287,100.96, 430,673.40 and 87,438.36

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Solution

The fourth proportional to 287,100.96, 430,673.40 and 87,438.36 is: 131,164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,100.96 : 430,673.40 = 87,438.36 : x
  2. Step 2: Convert to fraction form
    287,100.96/430,673.40 = 87,438.36/x
  3. Step 3: Cross multiply
    287,100.96x = 430,673.40 × 87,438.36
  4. Step 4: Simplify right side
    287,100.96x = 37,657,375,791.62
  5. Step 5: Solve for x
    x = 37,657,375,791.62/287,100.96
  6. Step 6: Final answer
    x = 131,164.23

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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.