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Finding the Fourth Proportional to 218,805.84, 301,953.96 and 123,294.24

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Solution

The fourth proportional to 218,805.84, 301,953.96 and 123,294.24 is: 170,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,805.84 : 301,953.96 = 123,294.24 : x
  2. Step 2: Convert to fraction form
    218,805.84/301,953.96 = 123,294.24/x
  3. Step 3: Cross multiply
    218,805.84x = 301,953.96 × 123,294.24
  4. Step 4: Simplify right side
    218,805.84x = 37,229,184,013.19
  5. Step 5: Solve for x
    x = 37,229,184,013.19/218,805.84
  6. Step 6: Final answer
    x = 170,147.12

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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.