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Finding the Fourth Proportional to 55,584, 83,384.64 and 18,656.64

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Solution

The fourth proportional to 55,584, 83,384.64 and 18,656.64 is: 27,987.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,584 : 83,384.64 = 18,656.64 : x
  2. Step 2: Convert to fraction form
    55,584/83,384.64 = 18,656.64/x
  3. Step 3: Cross multiply
    55,584x = 83,384.64 × 18,656.64
  4. Step 4: Simplify right side
    55,584x = 1,555,677,210.01
  5. Step 5: Solve for x
    x = 1,555,677,210.01/55,584
  6. Step 6: Final answer
    x = 27,987.86

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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.