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Finding the Fourth Proportional to 208,622.24, 312,930.12 and 83,960

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Solution

The fourth proportional to 208,622.24, 312,930.12 and 83,960 is: 125,938.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,622.24 : 312,930.12 = 83,960 : x
  2. Step 2: Convert to fraction form
    208,622.24/312,930.12 = 83,960/x
  3. Step 3: Cross multiply
    208,622.24x = 312,930.12 × 83,960
  4. Step 4: Simplify right side
    208,622.24x = 26,273,612,875.20
  5. Step 5: Solve for x
    x = 26,273,612,875.20/208,622.24
  6. Step 6: Final answer
    x = 125,938.70

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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.