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Finding the Fourth Proportional to 514,139.68, 771,201.27 and 140,162.68

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Solution

The fourth proportional to 514,139.68, 771,201.27 and 140,162.68 is: 210,241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,139.68 : 771,201.27 = 140,162.68 : x
  2. Step 2: Convert to fraction form
    514,139.68/771,201.27 = 140,162.68/x
  3. Step 3: Cross multiply
    514,139.68x = 771,201.27 × 140,162.68
  4. Step 4: Simplify right side
    514,139.68x = 108,093,636,822.60
  5. Step 5: Solve for x
    x = 108,093,636,822.60/514,139.68
  6. Step 6: Final answer
    x = 210,241.77

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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.