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Finding the Fourth Proportional to 131,762.88, 197,579.84 and 65,181.44

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Solution

The fourth proportional to 131,762.88, 197,579.84 and 65,181.44 is: 97,740.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,762.88 : 197,579.84 = 65,181.44 : x
  2. Step 2: Convert to fraction form
    131,762.88/197,579.84 = 65,181.44/x
  3. Step 3: Cross multiply
    131,762.88x = 197,579.84 × 65,181.44
  4. Step 4: Simplify right side
    131,762.88x = 12,878,538,486.17
  5. Step 5: Solve for x
    x = 12,878,538,486.17/131,762.88
  6. Step 6: Final answer
    x = 97,740.26

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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.