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Finding the Fourth Proportional to 54,656.78, 81,985.17 and 42,194.99

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Solution

The fourth proportional to 54,656.78, 81,985.17 and 42,194.99 is: 63,292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,656.78 : 81,985.17 = 42,194.99 : x
  2. Step 2: Convert to fraction form
    54,656.78/81,985.17 = 42,194.99/x
  3. Step 3: Cross multiply
    54,656.78x = 81,985.17 × 42,194.99
  4. Step 4: Simplify right side
    54,656.78x = 3,459,363,018.37
  5. Step 5: Solve for x
    x = 3,459,363,018.37/54,656.78
  6. Step 6: Final answer
    x = 63,292.48

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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.