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Finding the Fourth Proportional to 55,382.51, 83,070.12 and 13,829.51

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Solution

The fourth proportional to 55,382.51, 83,070.12 and 13,829.51 is: 20,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,382.51 : 83,070.12 = 13,829.51 : x
  2. Step 2: Convert to fraction form
    55,382.51/83,070.12 = 13,829.51/x
  3. Step 3: Cross multiply
    55,382.51x = 83,070.12 × 13,829.51
  4. Step 4: Simplify right side
    55,382.51x = 1,148,819,055.24
  5. Step 5: Solve for x
    x = 1,148,819,055.24/55,382.51
  6. Step 6: Final answer
    x = 20,743.35

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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.