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Finding the Fourth Proportional to 108,309.98, 162,329.67 and 52,139.66

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Solution

The fourth proportional to 108,309.98, 162,329.67 and 52,139.66 is: 78,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,309.98 : 162,329.67 = 52,139.66 : x
  2. Step 2: Convert to fraction form
    108,309.98/162,329.67 = 52,139.66/x
  3. Step 3: Cross multiply
    108,309.98x = 162,329.67 × 52,139.66
  4. Step 4: Simplify right side
    108,309.98x = 8,463,812,990.06
  5. Step 5: Solve for x
    x = 8,463,812,990.06/108,309.98
  6. Step 6: Final answer
    x = 78,144.35

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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.