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Finding the Fourth Proportional to 106,148.72, 146,423.02 and 67,894.31

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Solution

The fourth proportional to 106,148.72, 146,423.02 and 67,894.31 is: 93,654.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,148.72 : 146,423.02 = 67,894.31 : x
  2. Step 2: Convert to fraction form
    106,148.72/146,423.02 = 67,894.31/x
  3. Step 3: Cross multiply
    106,148.72x = 146,423.02 × 67,894.31
  4. Step 4: Simplify right side
    106,148.72x = 9,941,288,839.43
  5. Step 5: Solve for x
    x = 9,941,288,839.43/106,148.72
  6. Step 6: Final answer
    x = 93,654.35

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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.