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Finding the Fourth Proportional to 105,684, 145,850.40 and 60,972

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Solution

The fourth proportional to 105,684, 145,850.40 and 60,972 is: 84,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,684 : 145,850.40 = 60,972 : x
  2. Step 2: Convert to fraction form
    105,684/145,850.40 = 60,972/x
  3. Step 3: Cross multiply
    105,684x = 145,850.40 × 60,972
  4. Step 4: Simplify right side
    105,684x = 8,892,790,588.80
  5. Step 5: Solve for x
    x = 8,892,790,588.80/105,684
  6. Step 6: Final answer
    x = 84,145.10

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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.