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Finding the Fourth Proportional to 218,993.12, 328,510.68 and 100,697.36

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Solution

The fourth proportional to 218,993.12, 328,510.68 and 100,697.36 is: 151,055.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,993.12 : 328,510.68 = 100,697.36 : x
  2. Step 2: Convert to fraction form
    218,993.12/328,510.68 = 100,697.36/x
  3. Step 3: Cross multiply
    218,993.12x = 328,510.68 × 100,697.36
  4. Step 4: Simplify right side
    218,993.12x = 33,080,158,207.80
  5. Step 5: Solve for x
    x = 33,080,158,207.80/218,993.12
  6. Step 6: Final answer
    x = 151,055.70

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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.