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Finding the Fourth Proportional to 105,084, 144,996.08 and 62,646.48

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Solution

The fourth proportional to 105,084, 144,996.08 and 62,646.48 is: 86,440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,084 : 144,996.08 = 62,646.48 : x
  2. Step 2: Convert to fraction form
    105,084/144,996.08 = 62,646.48/x
  3. Step 3: Cross multiply
    105,084x = 144,996.08 × 62,646.48
  4. Step 4: Simplify right side
    105,084x = 9,083,494,025.80
  5. Step 5: Solve for x
    x = 9,083,494,025.80/105,084
  6. Step 6: Final answer
    x = 86,440.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.