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Finding the Fourth Proportional to 55,807.20, 83,721.60 and 28,105.20

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Solution

The fourth proportional to 55,807.20, 83,721.60 and 28,105.20 is: 42,163.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,807.20 : 83,721.60 = 28,105.20 : x
  2. Step 2: Convert to fraction form
    55,807.20/83,721.60 = 28,105.20/x
  3. Step 3: Cross multiply
    55,807.20x = 83,721.60 × 28,105.20
  4. Step 4: Simplify right side
    55,807.20x = 2,353,012,312.32
  5. Step 5: Solve for x
    x = 2,353,012,312.32/55,807.20
  6. Step 6: Final answer
    x = 42,163.24

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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.