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Finding the Fourth Proportional to 461,537, 692,305.50 and 129,113

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Solution

The fourth proportional to 461,537, 692,305.50 and 129,113 is: 193,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,537 : 692,305.50 = 129,113 : x
  2. Step 2: Convert to fraction form
    461,537/692,305.50 = 129,113/x
  3. Step 3: Cross multiply
    461,537x = 692,305.50 × 129,113
  4. Step 4: Simplify right side
    461,537x = 89,385,640,021.50
  5. Step 5: Solve for x
    x = 89,385,640,021.50/461,537
  6. Step 6: Final answer
    x = 193,669.50

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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.