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Finding the Fourth Proportional to 55,865, 83,798.32 and 13,745.10

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Solution

The fourth proportional to 55,865, 83,798.32 and 13,745.10 is: 20,617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,865 : 83,798.32 = 13,745.10 : x
  2. Step 2: Convert to fraction form
    55,865/83,798.32 = 13,745.10/x
  3. Step 3: Cross multiply
    55,865x = 83,798.32 × 13,745.10
  4. Step 4: Simplify right side
    55,865x = 1,151,816,288.23
  5. Step 5: Solve for x
    x = 1,151,816,288.23/55,865
  6. Step 6: Final answer
    x = 20,617.85

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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.