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Finding the Fourth Proportional to 145,114.80, 217,672.20 and 120,231.60

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Solution

The fourth proportional to 145,114.80, 217,672.20 and 120,231.60 is: 180,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,114.80 : 217,672.20 = 120,231.60 : x
  2. Step 2: Convert to fraction form
    145,114.80/217,672.20 = 120,231.60/x
  3. Step 3: Cross multiply
    145,114.80x = 217,672.20 × 120,231.60
  4. Step 4: Simplify right side
    145,114.80x = 26,171,076,881.52
  5. Step 5: Solve for x
    x = 26,171,076,881.52/145,114.80
  6. Step 6: Final answer
    x = 180,347.40

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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.