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Finding the Fourth Proportional to 133,543.40, 200,315.10 and 120,421.40

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Solution

The fourth proportional to 133,543.40, 200,315.10 and 120,421.40 is: 180,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,543.40 : 200,315.10 = 120,421.40 : x
  2. Step 2: Convert to fraction form
    133,543.40/200,315.10 = 120,421.40/x
  3. Step 3: Cross multiply
    133,543.40x = 200,315.10 × 120,421.40
  4. Step 4: Simplify right side
    133,543.40x = 24,122,224,783.14
  5. Step 5: Solve for x
    x = 24,122,224,783.14/133,543.40
  6. Step 6: Final answer
    x = 180,632.10

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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.