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Finding the Fourth Proportional to 85,172.90, 127,787.78 and 37,781.45

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Solution

The fourth proportional to 85,172.90, 127,787.78 and 37,781.45 is: 56,684.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,172.90 : 127,787.78 = 37,781.45 : x
  2. Step 2: Convert to fraction form
    85,172.90/127,787.78 = 37,781.45/x
  3. Step 3: Cross multiply
    85,172.90x = 127,787.78 × 37,781.45
  4. Step 4: Simplify right side
    85,172.90x = 4,828,007,688.74
  5. Step 5: Solve for x
    x = 4,828,007,688.74/85,172.90
  6. Step 6: Final answer
    x = 56,684.79

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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.