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Finding the Fourth Proportional to 120,443.22, 166,289.63 and 77,442

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Solution

The fourth proportional to 120,443.22, 166,289.63 and 77,442 is: 106,920.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,443.22 : 166,289.63 = 77,442 : x
  2. Step 2: Convert to fraction form
    120,443.22/166,289.63 = 77,442/x
  3. Step 3: Cross multiply
    120,443.22x = 166,289.63 × 77,442
  4. Step 4: Simplify right side
    120,443.22x = 12,877,801,139.25
  5. Step 5: Solve for x
    x = 12,877,801,139.25/120,443.22
  6. Step 6: Final answer
    x = 106,920.10

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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.