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Finding the Fourth Proportional to 218,970.64, 328,310.04 and 78,711.04

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Solution

The fourth proportional to 218,970.64, 328,310.04 and 78,711.04 is: 118,014.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,970.64 : 328,310.04 = 78,711.04 : x
  2. Step 2: Convert to fraction form
    218,970.64/328,310.04 = 78,711.04/x
  3. Step 3: Cross multiply
    218,970.64x = 328,310.04 × 78,711.04
  4. Step 4: Simplify right side
    218,970.64x = 25,841,624,690.84
  5. Step 5: Solve for x
    x = 25,841,624,690.84/218,970.64
  6. Step 6: Final answer
    x = 118,014.11

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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.