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Finding the Fourth Proportional to 120,312.54, 165,958.61 and 77,277.51

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Solution

The fourth proportional to 120,312.54, 165,958.61 and 77,277.51 is: 106,596.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,312.54 : 165,958.61 = 77,277.51 : x
  2. Step 2: Convert to fraction form
    120,312.54/165,958.61 = 77,277.51/x
  3. Step 3: Cross multiply
    120,312.54x = 165,958.61 × 77,277.51
  4. Step 4: Simplify right side
    120,312.54x = 12,824,867,757.47
  5. Step 5: Solve for x
    x = 12,824,867,757.47/120,312.54
  6. Step 6: Final answer
    x = 106,596.27

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1.5x scale

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.