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Finding the Fourth Proportional to 144,883.10, 217,421.85 and 85,655.90

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Solution

The fourth proportional to 144,883.10, 217,421.85 and 85,655.90 is: 128,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,883.10 : 217,421.85 = 85,655.90 : x
  2. Step 2: Convert to fraction form
    144,883.10/217,421.85 = 85,655.90/x
  3. Step 3: Cross multiply
    144,883.10x = 217,421.85 × 85,655.90
  4. Step 4: Simplify right side
    144,883.10x = 18,623,464,241.42
  5. Step 5: Solve for x
    x = 18,623,464,241.42/144,883.10
  6. Step 6: Final answer
    x = 128,541.32

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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.