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Finding the Fourth Proportional to 161,158.64, 241,654.41 and 85,298.30

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Solution

The fourth proportional to 161,158.64, 241,654.41 and 85,298.30 is: 127,903.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,158.64 : 241,654.41 = 85,298.30 : x
  2. Step 2: Convert to fraction form
    161,158.64/241,654.41 = 85,298.30/x
  3. Step 3: Cross multiply
    161,158.64x = 241,654.41 × 85,298.30
  4. Step 4: Simplify right side
    161,158.64x = 20,612,709,152.23
  5. Step 5: Solve for x
    x = 20,612,709,152.23/161,158.64
  6. Step 6: Final answer
    x = 127,903.22

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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.