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Finding the Fourth Proportional to 461,526, 692,289 and 129,102

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Solution

The fourth proportional to 461,526, 692,289 and 129,102 is: 193,653

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,526 : 692,289 = 129,102 : x
  2. Step 2: Convert to fraction form
    461,526/692,289 = 129,102/x
  3. Step 3: Cross multiply
    461,526x = 692,289 × 129,102
  4. Step 4: Simplify right side
    461,526x = 89,375,894,478
  5. Step 5: Solve for x
    x = 89,375,894,478/461,526
  6. Step 6: Final answer
    x = 193,653

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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.