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Finding the Fourth Proportional to 180,289, 270,375.99 and 61,931.80

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Solution

The fourth proportional to 180,289, 270,375.99 and 61,931.80 is: 92,877.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,289 : 270,375.99 = 61,931.80 : x
  2. Step 2: Convert to fraction form
    180,289/270,375.99 = 61,931.80/x
  3. Step 3: Cross multiply
    180,289x = 270,375.99 × 61,931.80
  4. Step 4: Simplify right side
    180,289x = 16,744,871,737.48
  5. Step 5: Solve for x
    x = 16,744,871,737.48/180,289
  6. Step 6: Final answer
    x = 92,877.94

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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.