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Finding the Fourth Proportional to 218,697.68, 301,803.72 and 123,205.52

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Solution

The fourth proportional to 218,697.68, 301,803.72 and 123,205.52 is: 170,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,697.68 : 301,803.72 = 123,205.52 : x
  2. Step 2: Convert to fraction form
    218,697.68/301,803.72 = 123,205.52/x
  3. Step 3: Cross multiply
    218,697.68x = 301,803.72 × 123,205.52
  4. Step 4: Simplify right side
    218,697.68x = 37,183,884,260.53
  5. Step 5: Solve for x
    x = 37,183,884,260.53/218,697.68
  6. Step 6: Final answer
    x = 170,024.14

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1.5x scale

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.