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Finding the Fourth Proportional to 145,816.80, 218,984.40 and 106,418.40

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Solution

The fourth proportional to 145,816.80, 218,984.40 and 106,418.40 is: 159,816.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,816.80 : 218,984.40 = 106,418.40 : x
  2. Step 2: Convert to fraction form
    145,816.80/218,984.40 = 106,418.40/x
  3. Step 3: Cross multiply
    145,816.80x = 218,984.40 × 106,418.40
  4. Step 4: Simplify right side
    145,816.80x = 23,303,969,472.96
  5. Step 5: Solve for x
    x = 23,303,969,472.96/145,816.80
  6. Step 6: Final answer
    x = 159,816.77

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1.5x scale

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.