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Finding the Fourth Proportional to 218,743.32, 328,142.34 and 85,606.38

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Solution

The fourth proportional to 218,743.32, 328,142.34 and 85,606.38 is: 128,420.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,743.32 : 328,142.34 = 85,606.38 : x
  2. Step 2: Convert to fraction form
    218,743.32/328,142.34 = 85,606.38/x
  3. Step 3: Cross multiply
    218,743.32x = 328,142.34 × 85,606.38
  4. Step 4: Simplify right side
    218,743.32x = 28,091,077,852.13
  5. Step 5: Solve for x
    x = 28,091,077,852.13/218,743.32
  6. Step 6: Final answer
    x = 128,420.28

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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.