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Finding the Fourth Proportional to 218,885.40, 302,057.80 and 123,392.16

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Solution

The fourth proportional to 218,885.40, 302,057.80 and 123,392.16 is: 170,278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,885.40 : 302,057.80 = 123,392.16 : x
  2. Step 2: Convert to fraction form
    218,885.40/302,057.80 = 123,392.16/x
  3. Step 3: Cross multiply
    218,885.40x = 302,057.80 × 123,392.16
  4. Step 4: Simplify right side
    218,885.40x = 37,271,564,078.37
  5. Step 5: Solve for x
    x = 37,271,564,078.37/218,885.40
  6. Step 6: Final answer
    x = 170,278.90

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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.