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Finding the Fourth Proportional to 208,083.70, 312,125.55 and 145,098.10

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Solution

The fourth proportional to 208,083.70, 312,125.55 and 145,098.10 is: 217,647.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,083.70 : 312,125.55 = 145,098.10 : x
  2. Step 2: Convert to fraction form
    208,083.70/312,125.55 = 145,098.10/x
  3. Step 3: Cross multiply
    208,083.70x = 312,125.55 × 145,098.10
  4. Step 4: Simplify right side
    208,083.70x = 45,288,824,266.46
  5. Step 5: Solve for x
    x = 45,288,824,266.46/208,083.70
  6. Step 6: Final answer
    x = 217,647.15

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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.