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Finding the Fourth Proportional to 180,421.28, 270,657.84 and 55,772

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Solution

The fourth proportional to 180,421.28, 270,657.84 and 55,772 is: 83,666.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,421.28 : 270,657.84 = 55,772 : x
  2. Step 2: Convert to fraction form
    180,421.28/270,657.84 = 55,772/x
  3. Step 3: Cross multiply
    180,421.28x = 270,657.84 × 55,772
  4. Step 4: Simplify right side
    180,421.28x = 15,095,129,052.48
  5. Step 5: Solve for x
    x = 15,095,129,052.48/180,421.28
  6. Step 6: Final answer
    x = 83,666.01

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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.