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Finding the Fourth Proportional to 120,154.80, 180,232.20 and 57,946.80

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Solution

The fourth proportional to 120,154.80, 180,232.20 and 57,946.80 is: 86,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,154.80 : 180,232.20 = 57,946.80 : x
  2. Step 2: Convert to fraction form
    120,154.80/180,232.20 = 57,946.80/x
  3. Step 3: Cross multiply
    120,154.80x = 180,232.20 × 57,946.80
  4. Step 4: Simplify right side
    120,154.80x = 10,443,879,246.96
  5. Step 5: Solve for x
    x = 10,443,879,246.96/120,154.80
  6. Step 6: Final answer
    x = 86,920.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.