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Finding the Fourth Proportional to 55,009.50, 75,913.20 and 29,859

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Solution

The fourth proportional to 55,009.50, 75,913.20 and 29,859 is: 41,205.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,009.50 : 75,913.20 = 29,859 : x
  2. Step 2: Convert to fraction form
    55,009.50/75,913.20 = 29,859/x
  3. Step 3: Cross multiply
    55,009.50x = 75,913.20 × 29,859
  4. Step 4: Simplify right side
    55,009.50x = 2,266,692,238.80
  5. Step 5: Solve for x
    x = 2,266,692,238.80/55,009.50
  6. Step 6: Final answer
    x = 41,205.47

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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.