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Finding the Fourth Proportional to 218,967.84, 328,451.04 and 52,755.84

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Solution

The fourth proportional to 218,967.84, 328,451.04 and 52,755.84 is: 79,133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,967.84 : 328,451.04 = 52,755.84 : x
  2. Step 2: Convert to fraction form
    218,967.84/328,451.04 = 52,755.84/x
  3. Step 3: Cross multiply
    218,967.84x = 328,451.04 × 52,755.84
  4. Step 4: Simplify right side
    218,967.84x = 17,327,710,514.07
  5. Step 5: Solve for x
    x = 17,327,710,514.07/218,967.84
  6. Step 6: Final answer
    x = 79,133.59

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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.