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Finding the Fourth Proportional to 120,510.48, 166,357.44 and 84,353.94

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Solution

The fourth proportional to 120,510.48, 166,357.44 and 84,353.94 is: 116,445.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,510.48 : 166,357.44 = 84,353.94 : x
  2. Step 2: Convert to fraction form
    120,510.48/166,357.44 = 84,353.94/x
  3. Step 3: Cross multiply
    120,510.48x = 166,357.44 × 84,353.94
  4. Step 4: Simplify right side
    120,510.48x = 14,032,905,512.31
  5. Step 5: Solve for x
    x = 14,032,905,512.31/120,510.48
  6. Step 6: Final answer
    x = 116,445.52

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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.