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Finding the Fourth Proportional to 120,271.51, 165,977.39 and 77,903.78

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Solution

The fourth proportional to 120,271.51, 165,977.39 and 77,903.78 is: 107,508.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,271.51 : 165,977.39 = 77,903.78 : x
  2. Step 2: Convert to fraction form
    120,271.51/165,977.39 = 77,903.78/x
  3. Step 3: Cross multiply
    120,271.51x = 165,977.39 × 77,903.78
  4. Step 4: Simplify right side
    120,271.51x = 12,930,265,686.02
  5. Step 5: Solve for x
    x = 12,930,265,686.02/120,271.51
  6. Step 6: Final answer
    x = 107,508.97

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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.