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Finding the Fourth Proportional to 137,416.05, 205,960.05 and 70,821.90

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Solution

The fourth proportional to 137,416.05, 205,960.05 and 70,821.90 is: 106,148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,416.05 : 205,960.05 = 70,821.90 : x
  2. Step 2: Convert to fraction form
    137,416.05/205,960.05 = 70,821.90/x
  3. Step 3: Cross multiply
    137,416.05x = 205,960.05 × 70,821.90
  4. Step 4: Simplify right side
    137,416.05x = 14,586,482,065.10
  5. Step 5: Solve for x
    x = 14,586,482,065.10/137,416.05
  6. Step 6: Final answer
    x = 106,148.31

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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.