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Finding the Fourth Proportional to 218,948.93, 328,225.72 and 78,674.75

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Solution

The fourth proportional to 218,948.93, 328,225.72 and 78,674.75 is: 117,941.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,948.93 : 328,225.72 = 78,674.75 : x
  2. Step 2: Convert to fraction form
    218,948.93/328,225.72 = 78,674.75/x
  3. Step 3: Cross multiply
    218,948.93x = 328,225.72 × 78,674.75
  4. Step 4: Simplify right side
    218,948.93x = 25,823,076,464.57
  5. Step 5: Solve for x
    x = 25,823,076,464.57/218,948.93
  6. Step 6: Final answer
    x = 117,941.09

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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.