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Finding the Fourth Proportional to 55,351.80, 83,059.29 and 30,070.08

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Solution

The fourth proportional to 55,351.80, 83,059.29 and 30,070.08 is: 45,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,351.80 : 83,059.29 = 30,070.08 : x
  2. Step 2: Convert to fraction form
    55,351.80/83,059.29 = 30,070.08/x
  3. Step 3: Cross multiply
    55,351.80x = 83,059.29 × 30,070.08
  4. Step 4: Simplify right side
    55,351.80x = 2,497,599,495.04
  5. Step 5: Solve for x
    x = 2,497,599,495.04/55,351.80
  6. Step 6: Final answer
    x = 45,122.28

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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.