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Finding the Fourth Proportional to 92,495.88, 138,627 and 77,099.40

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Solution

The fourth proportional to 92,495.88, 138,627 and 77,099.40 is: 115,551.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,495.88 : 138,627 = 77,099.40 : x
  2. Step 2: Convert to fraction form
    92,495.88/138,627 = 77,099.40/x
  3. Step 3: Cross multiply
    92,495.88x = 138,627 × 77,099.40
  4. Step 4: Simplify right side
    92,495.88x = 10,688,058,523.80
  5. Step 5: Solve for x
    x = 10,688,058,523.80/92,495.88
  6. Step 6: Final answer
    x = 115,551.73

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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.