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Finding the Fourth Proportional to 106,981.80, 160,472.70 and 40,424.10

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Solution

The fourth proportional to 106,981.80, 160,472.70 and 40,424.10 is: 60,636.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,981.80 : 160,472.70 = 40,424.10 : x
  2. Step 2: Convert to fraction form
    106,981.80/160,472.70 = 40,424.10/x
  3. Step 3: Cross multiply
    106,981.80x = 160,472.70 × 40,424.10
  4. Step 4: Simplify right side
    106,981.80x = 6,486,964,472.07
  5. Step 5: Solve for x
    x = 6,486,964,472.07/106,981.80
  6. Step 6: Final answer
    x = 60,636.15

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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.