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Finding the Fourth Proportional to 98,309.76, 135,665.82 and 54,700.68

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Solution

The fourth proportional to 98,309.76, 135,665.82 and 54,700.68 is: 75,486.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,309.76 : 135,665.82 = 54,700.68 : x
  2. Step 2: Convert to fraction form
    98,309.76/135,665.82 = 54,700.68/x
  3. Step 3: Cross multiply
    98,309.76x = 135,665.82 × 54,700.68
  4. Step 4: Simplify right side
    98,309.76x = 7,421,012,606.76
  5. Step 5: Solve for x
    x = 7,421,012,606.76/98,309.76
  6. Step 6: Final answer
    x = 75,486.02

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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.