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Finding the Fourth Proportional to 120,050.37, 165,746.79 and 77,048.42

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Solution

The fourth proportional to 120,050.37, 165,746.79 and 77,048.42 is: 106,376.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,050.37 : 165,746.79 = 77,048.42 : x
  2. Step 2: Convert to fraction form
    120,050.37/165,746.79 = 77,048.42/x
  3. Step 3: Cross multiply
    120,050.37x = 165,746.79 × 77,048.42
  4. Step 4: Simplify right side
    120,050.37x = 12,770,527,460.84
  5. Step 5: Solve for x
    x = 12,770,527,460.84/120,050.37
  6. Step 6: Final answer
    x = 106,376.41

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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.