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Finding the Fourth Proportional to 99,442.90, 149,164.35 and 81,875.82

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Solution

The fourth proportional to 99,442.90, 149,164.35 and 81,875.82 is: 122,813.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,442.90 : 149,164.35 = 81,875.82 : x
  2. Step 2: Convert to fraction form
    99,442.90/149,164.35 = 81,875.82/x
  3. Step 3: Cross multiply
    99,442.90x = 149,164.35 × 81,875.82
  4. Step 4: Simplify right side
    99,442.90x = 12,212,953,471.02
  5. Step 5: Solve for x
    x = 12,212,953,471.02/99,442.90
  6. Step 6: Final answer
    x = 122,813.73

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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.