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Finding the Fourth Proportional to 178,038, 245,692.44 and 98,550

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Solution

The fourth proportional to 178,038, 245,692.44 and 98,550 is: 135,999

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,038 : 245,692.44 = 98,550 : x
  2. Step 2: Convert to fraction form
    178,038/245,692.44 = 98,550/x
  3. Step 3: Cross multiply
    178,038x = 245,692.44 × 98,550
  4. Step 4: Simplify right side
    178,038x = 24,212,989,962
  5. Step 5: Solve for x
    x = 24,212,989,962/178,038
  6. Step 6: Final answer
    x = 135,999

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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.