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Finding the Fourth Proportional to 287,172.86, 430,759.13 and 76,805.33

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Solution

The fourth proportional to 287,172.86, 430,759.13 and 76,805.33 is: 115,207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,172.86 : 430,759.13 = 76,805.33 : x
  2. Step 2: Convert to fraction form
    287,172.86/430,759.13 = 76,805.33/x
  3. Step 3: Cross multiply
    287,172.86x = 430,759.13 × 76,805.33
  4. Step 4: Simplify right side
    287,172.86x = 33,084,594,592.34
  5. Step 5: Solve for x
    x = 33,084,594,592.34/287,172.86
  6. Step 6: Final answer
    x = 115,207.95

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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.