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Finding the Fourth Proportional to 120,206.34, 165,832.59 and 72,432.54

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Solution

The fourth proportional to 120,206.34, 165,832.59 and 72,432.54 is: 99,925.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,206.34 : 165,832.59 = 72,432.54 : x
  2. Step 2: Convert to fraction form
    120,206.34/165,832.59 = 72,432.54/x
  3. Step 3: Cross multiply
    120,206.34x = 165,832.59 × 72,432.54
  4. Step 4: Simplify right side
    120,206.34x = 12,011,675,708.48
  5. Step 5: Solve for x
    x = 12,011,675,708.48/120,206.34
  6. Step 6: Final answer
    x = 99,925.48

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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.