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Finding the Fourth Proportional to 98,471.49, 135,891.05 and 56,029.11

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Solution

The fourth proportional to 98,471.49, 135,891.05 and 56,029.11 is: 77,320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,471.49 : 135,891.05 = 56,029.11 : x
  2. Step 2: Convert to fraction form
    98,471.49/135,891.05 = 56,029.11/x
  3. Step 3: Cross multiply
    98,471.49x = 135,891.05 × 56,029.11
  4. Step 4: Simplify right side
    98,471.49x = 7,613,854,308.32
  5. Step 5: Solve for x
    x = 7,613,854,308.32/98,471.49
  6. Step 6: Final answer
    x = 77,320.39

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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.