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Finding the Fourth Proportional to 218,784.96, 328,184.40 and 69,026.64

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Solution

The fourth proportional to 218,784.96, 328,184.40 and 69,026.64 is: 103,542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,784.96 : 328,184.40 = 69,026.64 : x
  2. Step 2: Convert to fraction form
    218,784.96/328,184.40 = 69,026.64/x
  3. Step 3: Cross multiply
    218,784.96x = 328,184.40 × 69,026.64
  4. Step 4: Simplify right side
    218,784.96x = 22,653,466,432.42
  5. Step 5: Solve for x
    x = 22,653,466,432.42/218,784.96
  6. Step 6: Final answer
    x = 103,542.16

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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.