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Finding the Fourth Proportional to 98,184.83, 135,490.32 and 55,742.45

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Solution

The fourth proportional to 98,184.83, 135,490.32 and 55,742.45 is: 76,921.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,184.83 : 135,490.32 = 55,742.45 : x
  2. Step 2: Convert to fraction form
    98,184.83/135,490.32 = 55,742.45/x
  3. Step 3: Cross multiply
    98,184.83x = 135,490.32 × 55,742.45
  4. Step 4: Simplify right side
    98,184.83x = 7,552,561,710.63
  5. Step 5: Solve for x
    x = 7,552,561,710.63/98,184.83
  6. Step 6: Final answer
    x = 76,921.88

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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.