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Finding the Fourth Proportional to 55,605, 83,416.14 and 18,677.64

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Solution

The fourth proportional to 55,605, 83,416.14 and 18,677.64 is: 28,019.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,605 : 83,416.14 = 18,677.64 : x
  2. Step 2: Convert to fraction form
    55,605/83,416.14 = 18,677.64/x
  3. Step 3: Cross multiply
    55,605x = 83,416.14 × 18,677.64
  4. Step 4: Simplify right side
    55,605x = 1,558,016,633.11
  5. Step 5: Solve for x
    x = 1,558,016,633.11/55,605
  6. Step 6: Final answer
    x = 28,019.36

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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.