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Finding the Fourth Proportional to 148,988.64, 205,577.28 and 120,645.12

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Solution

The fourth proportional to 148,988.64, 205,577.28 and 120,645.12 is: 166,468.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,988.64 : 205,577.28 = 120,645.12 : x
  2. Step 2: Convert to fraction form
    148,988.64/205,577.28 = 120,645.12/x
  3. Step 3: Cross multiply
    148,988.64x = 205,577.28 × 120,645.12
  4. Step 4: Simplify right side
    148,988.64x = 24,801,895,614.87
  5. Step 5: Solve for x
    x = 24,801,895,614.87/148,988.64
  6. Step 6: Final answer
    x = 166,468.37

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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.