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Finding the Fourth Proportional to 208,537.52, 312,850.02 and 90,225.68

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Solution

The fourth proportional to 208,537.52, 312,850.02 and 90,225.68 is: 135,357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,537.52 : 312,850.02 = 90,225.68 : x
  2. Step 2: Convert to fraction form
    208,537.52/312,850.02 = 90,225.68/x
  3. Step 3: Cross multiply
    208,537.52x = 312,850.02 × 90,225.68
  4. Step 4: Simplify right side
    208,537.52x = 28,227,105,792.51
  5. Step 5: Solve for x
    x = 28,227,105,792.51/208,537.52
  6. Step 6: Final answer
    x = 135,357.44

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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.