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Finding the Fourth Proportional to 208,442.50, 287,652.92 and 122,402.50

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Solution

The fourth proportional to 208,442.50, 287,652.92 and 122,402.50 is: 168,916.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,442.50 : 287,652.92 = 122,402.50 : x
  2. Step 2: Convert to fraction form
    208,442.50/287,652.92 = 122,402.50/x
  3. Step 3: Cross multiply
    208,442.50x = 287,652.92 × 122,402.50
  4. Step 4: Simplify right side
    208,442.50x = 35,209,435,209.16
  5. Step 5: Solve for x
    x = 35,209,435,209.16/208,442.50
  6. Step 6: Final answer
    x = 168,916.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.