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Finding the Fourth Proportional to 218,941.76, 328,280.64 and 85,662.88

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Solution

The fourth proportional to 218,941.76, 328,280.64 and 85,662.88 is: 128,442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,941.76 : 328,280.64 = 85,662.88 : x
  2. Step 2: Convert to fraction form
    218,941.76/328,280.64 = 85,662.88/x
  3. Step 3: Cross multiply
    218,941.76x = 328,280.64 × 85,662.88
  4. Step 4: Simplify right side
    218,941.76x = 28,121,465,070.64
  5. Step 5: Solve for x
    x = 28,121,465,070.64/218,941.76
  6. Step 6: Final answer
    x = 128,442.67

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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.